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Finding the Fourth Proportional to 425.43, 587.30 and 268.14

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Solution

The fourth proportional to 425.43, 587.30 and 268.14 is: 370.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.43 : 587.30 = 268.14 : x
  2. Step 2: Convert to fraction form
    425.43/587.30 = 268.14/x
  3. Step 3: Cross multiply
    425.43x = 587.30 × 268.14
  4. Step 4: Simplify right side
    425.43x = 157,478.62
  5. Step 5: Solve for x
    x = 157,478.62/425.43
  6. Step 6: Final answer
    x = 370.16

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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.