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Finding the Fourth Proportional to 550.06, 824.35 and 458.93

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Solution

The fourth proportional to 550.06, 824.35 and 458.93 is: 687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.06 : 824.35 = 458.93 : x
  2. Step 2: Convert to fraction form
    550.06/824.35 = 458.93/x
  3. Step 3: Cross multiply
    550.06x = 824.35 × 458.93
  4. Step 4: Simplify right side
    550.06x = 378,318.95
  5. Step 5: Solve for x
    x = 378,318.95/550.06
  6. Step 6: Final answer
    x = 687.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.