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Finding the Fourth Proportional to 395.59, 545.90 and 229.78

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Solution

The fourth proportional to 395.59, 545.90 and 229.78 is: 317.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.59 : 545.90 = 229.78 : x
  2. Step 2: Convert to fraction form
    395.59/545.90 = 229.78/x
  3. Step 3: Cross multiply
    395.59x = 545.90 × 229.78
  4. Step 4: Simplify right side
    395.59x = 125,435.55
  5. Step 5: Solve for x
    x = 125,435.55/395.59
  6. Step 6: Final answer
    x = 317.08

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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.