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Finding the Fourth Proportional to 724.08, 998.88 and 462

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Solution

The fourth proportional to 724.08, 998.88 and 462 is: 637.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.08 : 998.88 = 462 : x
  2. Step 2: Convert to fraction form
    724.08/998.88 = 462/x
  3. Step 3: Cross multiply
    724.08x = 998.88 × 462
  4. Step 4: Simplify right side
    724.08x = 461,482.56
  5. Step 5: Solve for x
    x = 461,482.56/724.08
  6. Step 6: Final answer
    x = 637.34

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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.