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Finding the Fourth Proportional to 400.92, 553.02 and 284.52

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Solution

The fourth proportional to 400.92, 553.02 and 284.52 is: 392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.92 : 553.02 = 284.52 : x
  2. Step 2: Convert to fraction form
    400.92/553.02 = 284.52/x
  3. Step 3: Cross multiply
    400.92x = 553.02 × 284.52
  4. Step 4: Simplify right side
    400.92x = 157,345.25
  5. Step 5: Solve for x
    x = 157,345.25/400.92
  6. Step 6: Final answer
    x = 392.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.