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Finding the Fourth Proportional to 517.71, 714.43 and 284.83

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Solution

The fourth proportional to 517.71, 714.43 and 284.83 is: 393.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.71 : 714.43 = 284.83 : x
  2. Step 2: Convert to fraction form
    517.71/714.43 = 284.83/x
  3. Step 3: Cross multiply
    517.71x = 714.43 × 284.83
  4. Step 4: Simplify right side
    517.71x = 203,491.10
  5. Step 5: Solve for x
    x = 203,491.10/517.71
  6. Step 6: Final answer
    x = 393.06

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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.