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Finding the Fourth Proportional to 723.67, 998.42 and 458.06

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Solution

The fourth proportional to 723.67, 998.42 and 458.06 is: 631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.67 : 998.42 = 458.06 : x
  2. Step 2: Convert to fraction form
    723.67/998.42 = 458.06/x
  3. Step 3: Cross multiply
    723.67x = 998.42 × 458.06
  4. Step 4: Simplify right side
    723.67x = 457,328.98
  5. Step 5: Solve for x
    x = 457,328.98/723.67
  6. Step 6: Final answer
    x = 631.96

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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.