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Finding the Fourth Proportional to 484.13, 667.49 and 425.70

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Solution

The fourth proportional to 484.13, 667.49 and 425.70 is: 586.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.13 : 667.49 = 425.70 : x
  2. Step 2: Convert to fraction form
    484.13/667.49 = 425.70/x
  3. Step 3: Cross multiply
    484.13x = 667.49 × 425.70
  4. Step 4: Simplify right side
    484.13x = 284,148.36
  5. Step 5: Solve for x
    x = 284,148.36/484.13
  6. Step 6: Final answer
    x = 586.93

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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.