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Finding the Fourth Proportional to 475.50, 712.13 and 398.96

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Solution

The fourth proportional to 475.50, 712.13 and 398.96 is: 597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.50 : 712.13 = 398.96 : x
  2. Step 2: Convert to fraction form
    475.50/712.13 = 398.96/x
  3. Step 3: Cross multiply
    475.50x = 712.13 × 398.96
  4. Step 4: Simplify right side
    475.50x = 284,107.82
  5. Step 5: Solve for x
    x = 284,107.82/475.50
  6. Step 6: Final answer
    x = 597.49

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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.