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Finding the Fourth Proportional to 432.52, 649.02 and 176.20

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Solution

The fourth proportional to 432.52, 649.02 and 176.20 is: 264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.52 : 649.02 = 176.20 : x
  2. Step 2: Convert to fraction form
    432.52/649.02 = 176.20/x
  3. Step 3: Cross multiply
    432.52x = 649.02 × 176.20
  4. Step 4: Simplify right side
    432.52x = 114,357.32
  5. Step 5: Solve for x
    x = 114,357.32/432.52
  6. Step 6: Final answer
    x = 264.40

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