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Finding the Fourth Proportional to 517.56, 715 and 478.68

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Solution

The fourth proportional to 517.56, 715 and 478.68 is: 661.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.56 : 715 = 478.68 : x
  2. Step 2: Convert to fraction form
    517.56/715 = 478.68/x
  3. Step 3: Cross multiply
    517.56x = 715 × 478.68
  4. Step 4: Simplify right side
    517.56x = 342,256.20
  5. Step 5: Solve for x
    x = 342,256.20/517.56
  6. Step 6: Final answer
    x = 661.29

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