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Finding the Fourth Proportional to 517.12, 711.66 and 390.76

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Solution

The fourth proportional to 517.12, 711.66 and 390.76 is: 537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.12 : 711.66 = 390.76 : x
  2. Step 2: Convert to fraction form
    517.12/711.66 = 390.76/x
  3. Step 3: Cross multiply
    517.12x = 711.66 × 390.76
  4. Step 4: Simplify right side
    517.12x = 278,088.26
  5. Step 5: Solve for x
    x = 278,088.26/517.12
  6. Step 6: Final answer
    x = 537.76

Related Problems

Find fourth proportional to 258.56, 355.83 and 195.38
Half scale
Find fourth proportional to 1,034.24, 1,423.32 and 781.52
Double scale
Find fourth proportional to 518.12, 713.04 and 391.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.