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Finding the Fourth Proportional to 425.24, 586.49 and 375.49

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Solution

The fourth proportional to 425.24, 586.49 and 375.49 is: 517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.24 : 586.49 = 375.49 : x
  2. Step 2: Convert to fraction form
    425.24/586.49 = 375.49/x
  3. Step 3: Cross multiply
    425.24x = 586.49 × 375.49
  4. Step 4: Simplify right side
    425.24x = 220,221.13
  5. Step 5: Solve for x
    x = 220,221.13/425.24
  6. Step 6: Final answer
    x = 517.87

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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.