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Finding the Fourth Proportional to 679.68, 937.68 and 417.60

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Solution

The fourth proportional to 679.68, 937.68 and 417.60 is: 576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.68 : 937.68 = 417.60 : x
  2. Step 2: Convert to fraction form
    679.68/937.68 = 417.60/x
  3. Step 3: Cross multiply
    679.68x = 937.68 × 417.60
  4. Step 4: Simplify right side
    679.68x = 391,575.17
  5. Step 5: Solve for x
    x = 391,575.17/679.68
  6. Step 6: Final answer
    x = 576.12

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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.