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Finding the Fourth Proportional to 425.42, 587.04 and 238.94

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Solution

The fourth proportional to 425.42, 587.04 and 238.94 is: 329.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.42 : 587.04 = 238.94 : x
  2. Step 2: Convert to fraction form
    425.42/587.04 = 238.94/x
  3. Step 3: Cross multiply
    425.42x = 587.04 × 238.94
  4. Step 4: Simplify right side
    425.42x = 140,264.40
  5. Step 5: Solve for x
    x = 140,264.40/425.42
  6. Step 6: Final answer
    x = 329.71

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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.