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Finding the Fourth Proportional to 679.16, 937.26 and 417.26

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Solution

The fourth proportional to 679.16, 937.26 and 417.26 is: 575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.16 : 937.26 = 417.26 : x
  2. Step 2: Convert to fraction form
    679.16/937.26 = 417.26/x
  3. Step 3: Cross multiply
    679.16x = 937.26 × 417.26
  4. Step 4: Simplify right side
    679.16x = 391,081.11
  5. Step 5: Solve for x
    x = 391,081.11/679.16
  6. Step 6: Final answer
    x = 575.83

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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.