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Finding the Fourth Proportional to 475.32, 712.18 and 329.12

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Solution

The fourth proportional to 475.32, 712.18 and 329.12 is: 493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.32 : 712.18 = 329.12 : x
  2. Step 2: Convert to fraction form
    475.32/712.18 = 329.12/x
  3. Step 3: Cross multiply
    475.32x = 712.18 × 329.12
  4. Step 4: Simplify right side
    475.32x = 234,392.68
  5. Step 5: Solve for x
    x = 234,392.68/475.32
  6. Step 6: Final answer
    x = 493.13

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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.