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Finding the Fourth Proportional to 517.92, 715.20 and 401.28

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Solution

The fourth proportional to 517.92, 715.20 and 401.28 is: 554.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.92 : 715.20 = 401.28 : x
  2. Step 2: Convert to fraction form
    517.92/715.20 = 401.28/x
  3. Step 3: Cross multiply
    517.92x = 715.20 × 401.28
  4. Step 4: Simplify right side
    517.92x = 286,995.46
  5. Step 5: Solve for x
    x = 286,995.46/517.92
  6. Step 6: Final answer
    x = 554.13

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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.