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Finding the Fourth Proportional to 722.96, 997.33 and 424.01

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Solution

The fourth proportional to 722.96, 997.33 and 424.01 is: 584.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.96 : 997.33 = 424.01 : x
  2. Step 2: Convert to fraction form
    722.96/997.33 = 424.01/x
  3. Step 3: Cross multiply
    722.96x = 997.33 × 424.01
  4. Step 4: Simplify right side
    722.96x = 422,877.89
  5. Step 5: Solve for x
    x = 422,877.89/722.96
  6. Step 6: Final answer
    x = 584.93

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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.