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Finding the Fourth Proportional to 517.16, 713.58 and 320.76

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Solution

The fourth proportional to 517.16, 713.58 and 320.76 is: 442.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.16 : 713.58 = 320.76 : x
  2. Step 2: Convert to fraction form
    517.16/713.58 = 320.76/x
  3. Step 3: Cross multiply
    517.16x = 713.58 × 320.76
  4. Step 4: Simplify right side
    517.16x = 228,887.92
  5. Step 5: Solve for x
    x = 228,887.92/517.16
  6. Step 6: Final answer
    x = 442.59

Related Problems

Find fourth proportional to 258.58, 356.79 and 160.38
Half scale
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Double scale
Find fourth proportional to 518.16, 714.96 and 321.76
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.