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Finding the Fourth Proportional to 458.70, 688.05 and 422.52

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Solution

The fourth proportional to 458.70, 688.05 and 422.52 is: 633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.70 : 688.05 = 422.52 : x
  2. Step 2: Convert to fraction form
    458.70/688.05 = 422.52/x
  3. Step 3: Cross multiply
    458.70x = 688.05 × 422.52
  4. Step 4: Simplify right side
    458.70x = 290,714.89
  5. Step 5: Solve for x
    x = 290,714.89/458.70
  6. Step 6: Final answer
    x = 633.78

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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.