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Finding the Fourth Proportional to 722.85, 997.56 and 428.10

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Solution

The fourth proportional to 722.85, 997.56 and 428.10 is: 590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.85 : 997.56 = 428.10 : x
  2. Step 2: Convert to fraction form
    722.85/997.56 = 428.10/x
  3. Step 3: Cross multiply
    722.85x = 997.56 × 428.10
  4. Step 4: Simplify right side
    722.85x = 427,055.44
  5. Step 5: Solve for x
    x = 427,055.44/722.85
  6. Step 6: Final answer
    x = 590.79

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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.