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Finding the Fourth Proportional to 524.10, 721.61 and 445.25

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Solution

The fourth proportional to 524.10, 721.61 and 445.25 is: 613.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.10 : 721.61 = 445.25 : x
  2. Step 2: Convert to fraction form
    524.10/721.61 = 445.25/x
  3. Step 3: Cross multiply
    524.10x = 721.61 × 445.25
  4. Step 4: Simplify right side
    524.10x = 321,296.85
  5. Step 5: Solve for x
    x = 321,296.85/524.10
  6. Step 6: Final answer
    x = 613.04

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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.