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Finding the Fourth Proportional to 458.20, 687.06 and 284.44

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Solution

The fourth proportional to 458.20, 687.06 and 284.44 is: 426.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.20 : 687.06 = 284.44 : x
  2. Step 2: Convert to fraction form
    458.20/687.06 = 284.44/x
  3. Step 3: Cross multiply
    458.20x = 687.06 × 284.44
  4. Step 4: Simplify right side
    458.20x = 195,427.35
  5. Step 5: Solve for x
    x = 195,427.35/458.20
  6. Step 6: Final answer
    x = 426.51

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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.