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Finding the Fourth Proportional to 543.68, 813.89 and 381.27

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Solution

The fourth proportional to 543.68, 813.89 and 381.27 is: 570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.68 : 813.89 = 381.27 : x
  2. Step 2: Convert to fraction form
    543.68/813.89 = 381.27/x
  3. Step 3: Cross multiply
    543.68x = 813.89 × 381.27
  4. Step 4: Simplify right side
    543.68x = 310,312.79
  5. Step 5: Solve for x
    x = 310,312.79/543.68
  6. Step 6: Final answer
    x = 570.77

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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.