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Finding the Fourth Proportional to 723.11, 997.18 and 473.90

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Solution

The fourth proportional to 723.11, 997.18 and 473.90 is: 653.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.11 : 997.18 = 473.90 : x
  2. Step 2: Convert to fraction form
    723.11/997.18 = 473.90/x
  3. Step 3: Cross multiply
    723.11x = 997.18 × 473.90
  4. Step 4: Simplify right side
    723.11x = 472,557.43
  5. Step 5: Solve for x
    x = 472,557.43/723.11
  6. Step 6: Final answer
    x = 653.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.