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Finding the Fourth Proportional to 722.57, 997.27 and 428.00

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Solution

The fourth proportional to 722.57, 997.27 and 428.00 is: 590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.57 : 997.27 = 428.00 : x
  2. Step 2: Convert to fraction form
    722.57/997.27 = 428.00/x
  3. Step 3: Cross multiply
    722.57x = 997.27 × 428.00
  4. Step 4: Simplify right side
    722.57x = 426,825.50
  5. Step 5: Solve for x
    x = 426,825.50/722.57
  6. Step 6: Final answer
    x = 590.71

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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.