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Finding the Fourth Proportional to 723.24, 998.34 and 474.64

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Solution

The fourth proportional to 723.24, 998.34 and 474.64 is: 655.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.24 : 998.34 = 474.64 : x
  2. Step 2: Convert to fraction form
    723.24/998.34 = 474.64/x
  3. Step 3: Cross multiply
    723.24x = 998.34 × 474.64
  4. Step 4: Simplify right side
    723.24x = 473,849.72
  5. Step 5: Solve for x
    x = 473,849.72/723.24
  6. Step 6: Final answer
    x = 655.17

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