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Finding the Fourth Proportional to 655.11, 903.78 and 458.73

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Solution

The fourth proportional to 655.11, 903.78 and 458.73 is: 632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.11 : 903.78 = 458.73 : x
  2. Step 2: Convert to fraction form
    655.11/903.78 = 458.73/x
  3. Step 3: Cross multiply
    655.11x = 903.78 × 458.73
  4. Step 4: Simplify right side
    655.11x = 414,591.00
  5. Step 5: Solve for x
    x = 414,591.00/655.11
  6. Step 6: Final answer
    x = 632.86

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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.