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Finding the Fourth Proportional to 432.97, 649.32 and 159.06

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Solution

The fourth proportional to 432.97, 649.32 and 159.06 is: 238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.97 : 649.32 = 159.06 : x
  2. Step 2: Convert to fraction form
    432.97/649.32 = 159.06/x
  3. Step 3: Cross multiply
    432.97x = 649.32 × 159.06
  4. Step 4: Simplify right side
    432.97x = 103,280.84
  5. Step 5: Solve for x
    x = 103,280.84/432.97
  6. Step 6: Final answer
    x = 238.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.