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Finding the Fourth Proportional to 679.85, 937.10 and 458.42

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Solution

The fourth proportional to 679.85, 937.10 and 458.42 is: 631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.85 : 937.10 = 458.42 : x
  2. Step 2: Convert to fraction form
    679.85/937.10 = 458.42/x
  3. Step 3: Cross multiply
    679.85x = 937.10 × 458.42
  4. Step 4: Simplify right side
    679.85x = 429,581.84
  5. Step 5: Solve for x
    x = 429,581.84/679.85
  6. Step 6: Final answer
    x = 631.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.