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Finding the Fourth Proportional to 543.34, 748.83 and 395.74

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Solution

The fourth proportional to 543.34, 748.83 and 395.74 is: 545.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.34 : 748.83 = 395.74 : x
  2. Step 2: Convert to fraction form
    543.34/748.83 = 395.74/x
  3. Step 3: Cross multiply
    543.34x = 748.83 × 395.74
  4. Step 4: Simplify right side
    543.34x = 296,341.98
  5. Step 5: Solve for x
    x = 296,341.98/543.34
  6. Step 6: Final answer
    x = 545.41

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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.