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Finding the Fourth Proportional to 477.45, 715.28 and 400.91

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Solution

The fourth proportional to 477.45, 715.28 and 400.91 is: 600.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.45 : 715.28 = 400.91 : x
  2. Step 2: Convert to fraction form
    477.45/715.28 = 400.91/x
  3. Step 3: Cross multiply
    477.45x = 715.28 × 400.91
  4. Step 4: Simplify right side
    477.45x = 286,757.32
  5. Step 5: Solve for x
    x = 286,757.32/477.45
  6. Step 6: Final answer
    x = 600.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.