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Finding the Fourth Proportional to 432.52, 648.86 and 176.04

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Solution

The fourth proportional to 432.52, 648.86 and 176.04 is: 264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.52 : 648.86 = 176.04 : x
  2. Step 2: Convert to fraction form
    432.52/648.86 = 176.04/x
  3. Step 3: Cross multiply
    432.52x = 648.86 × 176.04
  4. Step 4: Simplify right side
    432.52x = 114,225.31
  5. Step 5: Solve for x
    x = 114,225.31/432.52
  6. Step 6: Final answer
    x = 264.09

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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.