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Finding the Fourth Proportional to 722.64, 997.28 and 442.79

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Solution

The fourth proportional to 722.64, 997.28 and 442.79 is: 611.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.64 : 997.28 = 442.79 : x
  2. Step 2: Convert to fraction form
    722.64/997.28 = 442.79/x
  3. Step 3: Cross multiply
    722.64x = 997.28 × 442.79
  4. Step 4: Simplify right side
    722.64x = 441,585.61
  5. Step 5: Solve for x
    x = 441,585.61/722.64
  6. Step 6: Final answer
    x = 611.07

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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.