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Finding the Fourth Proportional to 458.46, 632.97 and 284.13

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Solution

The fourth proportional to 458.46, 632.97 and 284.13 is: 392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.46 : 632.97 = 284.13 : x
  2. Step 2: Convert to fraction form
    458.46/632.97 = 284.13/x
  3. Step 3: Cross multiply
    458.46x = 632.97 × 284.13
  4. Step 4: Simplify right side
    458.46x = 179,845.77
  5. Step 5: Solve for x
    x = 179,845.77/458.46
  6. Step 6: Final answer
    x = 392.28

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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.