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Finding the Fourth Proportional to 395.18, 545.52 and 296.96

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Solution

The fourth proportional to 395.18, 545.52 and 296.96 is: 409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.18 : 545.52 = 296.96 : x
  2. Step 2: Convert to fraction form
    395.18/545.52 = 296.96/x
  3. Step 3: Cross multiply
    395.18x = 545.52 × 296.96
  4. Step 4: Simplify right side
    395.18x = 161,996.13
  5. Step 5: Solve for x
    x = 161,996.13/395.18
  6. Step 6: Final answer
    x = 409.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.