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Finding the Fourth Proportional to 463.92, 639.63 and 400.92

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Solution

The fourth proportional to 463.92, 639.63 and 400.92 is: 552.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.92 : 639.63 = 400.92 : x
  2. Step 2: Convert to fraction form
    463.92/639.63 = 400.92/x
  3. Step 3: Cross multiply
    463.92x = 639.63 × 400.92
  4. Step 4: Simplify right side
    463.92x = 256,440.46
  5. Step 5: Solve for x
    x = 256,440.46/463.92
  6. Step 6: Final answer
    x = 552.77

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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.