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Finding the Fourth Proportional to 610.88, 843.24 and 464.24

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Solution

The fourth proportional to 610.88, 843.24 and 464.24 is: 640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.88 : 843.24 = 464.24 : x
  2. Step 2: Convert to fraction form
    610.88/843.24 = 464.24/x
  3. Step 3: Cross multiply
    610.88x = 843.24 × 464.24
  4. Step 4: Simplify right side
    610.88x = 391,465.74
  5. Step 5: Solve for x
    x = 391,465.74/610.88
  6. Step 6: Final answer
    x = 640.82

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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.