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Finding the Fourth Proportional to 515.64, 711.56 and 282.76

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Solution

The fourth proportional to 515.64, 711.56 and 282.76 is: 390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.64 : 711.56 = 282.76 : x
  2. Step 2: Convert to fraction form
    515.64/711.56 = 282.76/x
  3. Step 3: Cross multiply
    515.64x = 711.56 × 282.76
  4. Step 4: Simplify right side
    515.64x = 201,200.71
  5. Step 5: Solve for x
    x = 201,200.71/515.64
  6. Step 6: Final answer
    x = 390.20

Related Problems

Find fourth proportional to 257.82, 355.78 and 141.38
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Double scale
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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.