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Finding the Fourth Proportional to 425.90, 587.82 and 248.92

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Solution

The fourth proportional to 425.90, 587.82 and 248.92 is: 343.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.90 : 587.82 = 248.92 : x
  2. Step 2: Convert to fraction form
    425.90/587.82 = 248.92/x
  3. Step 3: Cross multiply
    425.90x = 587.82 × 248.92
  4. Step 4: Simplify right side
    425.90x = 146,320.15
  5. Step 5: Solve for x
    x = 146,320.15/425.90
  6. Step 6: Final answer
    x = 343.56

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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.