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Finding the Fourth Proportional to 679.45, 937.59 and 458.70

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Solution

The fourth proportional to 679.45, 937.59 and 458.70 is: 632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.45 : 937.59 = 458.70 : x
  2. Step 2: Convert to fraction form
    679.45/937.59 = 458.70/x
  3. Step 3: Cross multiply
    679.45x = 937.59 × 458.70
  4. Step 4: Simplify right side
    679.45x = 430,072.53
  5. Step 5: Solve for x
    x = 430,072.53/679.45
  6. Step 6: Final answer
    x = 632.97

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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.