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Finding the Fourth Proportional to 724.04, 998.93 and 462.21

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Solution

The fourth proportional to 724.04, 998.93 and 462.21 is: 637.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.04 : 998.93 = 462.21 : x
  2. Step 2: Convert to fraction form
    724.04/998.93 = 462.21/x
  3. Step 3: Cross multiply
    724.04x = 998.93 × 462.21
  4. Step 4: Simplify right side
    724.04x = 461,715.44
  5. Step 5: Solve for x
    x = 461,715.44/724.04
  6. Step 6: Final answer
    x = 637.69

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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.