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Finding the Fourth Proportional to 425.41, 587.03 and 268.04

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Solution

The fourth proportional to 425.41, 587.03 and 268.04 is: 369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.41 : 587.03 = 268.04 : x
  2. Step 2: Convert to fraction form
    425.41/587.03 = 268.04/x
  3. Step 3: Cross multiply
    425.41x = 587.03 × 268.04
  4. Step 4: Simplify right side
    425.41x = 157,347.65
  5. Step 5: Solve for x
    x = 157,347.65/425.41
  6. Step 6: Final answer
    x = 369.88

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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.