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Finding the Fourth Proportional to 679.28, 937.46 and 417.16

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Solution

The fourth proportional to 679.28, 937.46 and 417.16 is: 575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.28 : 937.46 = 417.16 : x
  2. Step 2: Convert to fraction form
    679.28/937.46 = 417.16/x
  3. Step 3: Cross multiply
    679.28x = 937.46 × 417.16
  4. Step 4: Simplify right side
    679.28x = 391,070.81
  5. Step 5: Solve for x
    x = 391,070.81/679.28
  6. Step 6: Final answer
    x = 575.71

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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.