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Finding the Fourth Proportional to 458.68, 632.67 and 284.11

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Solution

The fourth proportional to 458.68, 632.67 and 284.11 is: 391.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.68 : 632.67 = 284.11 : x
  2. Step 2: Convert to fraction form
    458.68/632.67 = 284.11/x
  3. Step 3: Cross multiply
    458.68x = 632.67 × 284.11
  4. Step 4: Simplify right side
    458.68x = 179,747.87
  5. Step 5: Solve for x
    x = 179,747.87/458.68
  6. Step 6: Final answer
    x = 391.88

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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.