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Finding the Fourth Proportional to 432.20, 648.12 and 314.84

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Solution

The fourth proportional to 432.20, 648.12 and 314.84 is: 472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.20 : 648.12 = 314.84 : x
  2. Step 2: Convert to fraction form
    432.20/648.12 = 314.84/x
  3. Step 3: Cross multiply
    432.20x = 648.12 × 314.84
  4. Step 4: Simplify right side
    432.20x = 204,054.10
  5. Step 5: Solve for x
    x = 204,054.10/432.20
  6. Step 6: Final answer
    x = 472.13

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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.