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Finding the Fourth Proportional to 432.96, 649.52 and 144.36

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Solution

The fourth proportional to 432.96, 649.52 and 144.36 is: 216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.96 : 649.52 = 144.36 : x
  2. Step 2: Convert to fraction form
    432.96/649.52 = 144.36/x
  3. Step 3: Cross multiply
    432.96x = 649.52 × 144.36
  4. Step 4: Simplify right side
    432.96x = 93,764.71
  5. Step 5: Solve for x
    x = 93,764.71/432.96
  6. Step 6: Final answer
    x = 216.57

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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.