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Finding the Fourth Proportional to 432.84, 649.38 and 144.29

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Solution

The fourth proportional to 432.84, 649.38 and 144.29 is: 216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.84 : 649.38 = 144.29 : x
  2. Step 2: Convert to fraction form
    432.84/649.38 = 144.29/x
  3. Step 3: Cross multiply
    432.84x = 649.38 × 144.29
  4. Step 4: Simplify right side
    432.84x = 93,695.79
  5. Step 5: Solve for x
    x = 93,695.79/432.84
  6. Step 6: Final answer
    x = 216.47

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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.