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Finding the Fourth Proportional to 458.62, 687.12 and 382.07

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Solution

The fourth proportional to 458.62, 687.12 and 382.07 is: 572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.62 : 687.12 = 382.07 : x
  2. Step 2: Convert to fraction form
    458.62/687.12 = 382.07/x
  3. Step 3: Cross multiply
    458.62x = 687.12 × 382.07
  4. Step 4: Simplify right side
    458.62x = 262,527.94
  5. Step 5: Solve for x
    x = 262,527.94/458.62
  6. Step 6: Final answer
    x = 572.43

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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.