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Finding the Fourth Proportional to 432.75, 649.23 and 176.25

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Solution

The fourth proportional to 432.75, 649.23 and 176.25 is: 264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.75 : 649.23 = 176.25 : x
  2. Step 2: Convert to fraction form
    432.75/649.23 = 176.25/x
  3. Step 3: Cross multiply
    432.75x = 649.23 × 176.25
  4. Step 4: Simplify right side
    432.75x = 114,426.79
  5. Step 5: Solve for x
    x = 114,426.79/432.75
  6. Step 6: Final answer
    x = 264.42

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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.