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Finding the Fourth Proportional to 518.47, 715.57 and 400.61

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Solution

The fourth proportional to 518.47, 715.57 and 400.61 is: 552.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.47 : 715.57 = 400.61 : x
  2. Step 2: Convert to fraction form
    518.47/715.57 = 400.61/x
  3. Step 3: Cross multiply
    518.47x = 715.57 × 400.61
  4. Step 4: Simplify right side
    518.47x = 286,665.29
  5. Step 5: Solve for x
    x = 286,665.29/518.47
  6. Step 6: Final answer
    x = 552.91

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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.