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Finding the Fourth Proportional to 722.30, 997.01 and 423.61

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Solution

The fourth proportional to 722.30, 997.01 and 423.61 is: 584.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.30 : 997.01 = 423.61 : x
  2. Step 2: Convert to fraction form
    722.30/997.01 = 423.61/x
  3. Step 3: Cross multiply
    722.30x = 997.01 × 423.61
  4. Step 4: Simplify right side
    722.30x = 422,343.41
  5. Step 5: Solve for x
    x = 422,343.41/722.30
  6. Step 6: Final answer
    x = 584.72

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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.