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Finding the Fourth Proportional to 395.44, 545.76 and 297.04

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Solution

The fourth proportional to 395.44, 545.76 and 297.04 is: 409.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.44 : 545.76 = 297.04 : x
  2. Step 2: Convert to fraction form
    395.44/545.76 = 297.04/x
  3. Step 3: Cross multiply
    395.44x = 545.76 × 297.04
  4. Step 4: Simplify right side
    395.44x = 162,112.55
  5. Step 5: Solve for x
    x = 162,112.55/395.44
  6. Step 6: Final answer
    x = 409.95

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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.