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Finding the Fourth Proportional to 679.32, 937.35 and 417.27

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Solution

The fourth proportional to 679.32, 937.35 and 417.27 is: 575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.32 : 937.35 = 417.27 : x
  2. Step 2: Convert to fraction form
    679.32/937.35 = 417.27/x
  3. Step 3: Cross multiply
    679.32x = 937.35 × 417.27
  4. Step 4: Simplify right side
    679.32x = 391,128.03
  5. Step 5: Solve for x
    x = 391,128.03/679.32
  6. Step 6: Final answer
    x = 575.76

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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.