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Finding the Fourth Proportional to 480.52, 663.24 and 284.17

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Solution

The fourth proportional to 480.52, 663.24 and 284.17 is: 392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.52 : 663.24 = 284.17 : x
  2. Step 2: Convert to fraction form
    480.52/663.24 = 284.17/x
  3. Step 3: Cross multiply
    480.52x = 663.24 × 284.17
  4. Step 4: Simplify right side
    480.52x = 188,472.91
  5. Step 5: Solve for x
    x = 188,472.91/480.52
  6. Step 6: Final answer
    x = 392.23

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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.