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Finding the Fourth Proportional to 679.53, 937.77 and 417.60

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Solution

The fourth proportional to 679.53, 937.77 and 417.60 is: 576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.53 : 937.77 = 417.60 : x
  2. Step 2: Convert to fraction form
    679.53/937.77 = 417.60/x
  3. Step 3: Cross multiply
    679.53x = 937.77 × 417.60
  4. Step 4: Simplify right side
    679.53x = 391,612.75
  5. Step 5: Solve for x
    x = 391,612.75/679.53
  6. Step 6: Final answer
    x = 576.30

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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.