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Finding the Fourth Proportional to 543.24, 750.24 and 496.44

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Solution

The fourth proportional to 543.24, 750.24 and 496.44 is: 685.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.24 : 750.24 = 496.44 : x
  2. Step 2: Convert to fraction form
    543.24/750.24 = 496.44/x
  3. Step 3: Cross multiply
    543.24x = 750.24 × 496.44
  4. Step 4: Simplify right side
    543.24x = 372,449.15
  5. Step 5: Solve for x
    x = 372,449.15/543.24
  6. Step 6: Final answer
    x = 685.61

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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.