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Finding the Fourth Proportional to 543.56, 813.42 and 397.48

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Solution

The fourth proportional to 543.56, 813.42 and 397.48 is: 594.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.56 : 813.42 = 397.48 : x
  2. Step 2: Convert to fraction form
    543.56/813.42 = 397.48/x
  3. Step 3: Cross multiply
    543.56x = 813.42 × 397.48
  4. Step 4: Simplify right side
    543.56x = 323,318.18
  5. Step 5: Solve for x
    x = 323,318.18/543.56
  6. Step 6: Final answer
    x = 594.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.