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Finding the Fourth Proportional to 458.88, 687.92 and 239.05

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Solution

The fourth proportional to 458.88, 687.92 and 239.05 is: 358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.88 : 687.92 = 239.05 : x
  2. Step 2: Convert to fraction form
    458.88/687.92 = 239.05/x
  3. Step 3: Cross multiply
    458.88x = 687.92 × 239.05
  4. Step 4: Simplify right side
    458.88x = 164,447.28
  5. Step 5: Solve for x
    x = 164,447.28/458.88
  6. Step 6: Final answer
    x = 358.37

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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.