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Finding the Fourth Proportional to 679.96, 937.40 and 458.56

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Solution

The fourth proportional to 679.96, 937.40 and 458.56 is: 632.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.96 : 937.40 = 458.56 : x
  2. Step 2: Convert to fraction form
    679.96/937.40 = 458.56/x
  3. Step 3: Cross multiply
    679.96x = 937.40 × 458.56
  4. Step 4: Simplify right side
    679.96x = 429,854.14
  5. Step 5: Solve for x
    x = 429,854.14/679.96
  6. Step 6: Final answer
    x = 632.18

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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.