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Finding the Fourth Proportional to 462.86, 639.24 and 400.40

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Solution

The fourth proportional to 462.86, 639.24 and 400.40 is: 552.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.86 : 639.24 = 400.40 : x
  2. Step 2: Convert to fraction form
    462.86/639.24 = 400.40/x
  3. Step 3: Cross multiply
    462.86x = 639.24 × 400.40
  4. Step 4: Simplify right side
    462.86x = 255,946.50
  5. Step 5: Solve for x
    x = 255,946.50/462.86
  6. Step 6: Final answer
    x = 552.97

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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.