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Finding the Fourth Proportional to 425.68, 587.44 and 248.74

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Solution

The fourth proportional to 425.68, 587.44 and 248.74 is: 343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.68 : 587.44 = 248.74 : x
  2. Step 2: Convert to fraction form
    425.68/587.44 = 248.74/x
  3. Step 3: Cross multiply
    425.68x = 587.44 × 248.74
  4. Step 4: Simplify right side
    425.68x = 146,118.67
  5. Step 5: Solve for x
    x = 146,118.67/425.68
  6. Step 6: Final answer
    x = 343.26

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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.