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Finding the Fourth Proportional to 425.10, 587.82 and 337.62

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Solution

The fourth proportional to 425.10, 587.82 and 337.62 is: 466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.10 : 587.82 = 337.62 : x
  2. Step 2: Convert to fraction form
    425.10/587.82 = 337.62/x
  3. Step 3: Cross multiply
    425.10x = 587.82 × 337.62
  4. Step 4: Simplify right side
    425.10x = 198,459.79
  5. Step 5: Solve for x
    x = 198,459.79/425.10
  6. Step 6: Final answer
    x = 466.85

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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.