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Finding the Fourth Proportional to 395.66, 545.46 and 297.24

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Solution

The fourth proportional to 395.66, 545.46 and 297.24 is: 409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.66 : 545.46 = 297.24 : x
  2. Step 2: Convert to fraction form
    395.66/545.46 = 297.24/x
  3. Step 3: Cross multiply
    395.66x = 545.46 × 297.24
  4. Step 4: Simplify right side
    395.66x = 162,132.53
  5. Step 5: Solve for x
    x = 162,132.53/395.66
  6. Step 6: Final answer
    x = 409.78

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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.