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Finding the Fourth Proportional to 395.45, 545.73 and 297.03

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Solution

The fourth proportional to 395.45, 545.73 and 297.03 is: 409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.45 : 545.73 = 297.03 : x
  2. Step 2: Convert to fraction form
    395.45/545.73 = 297.03/x
  3. Step 3: Cross multiply
    395.45x = 545.73 × 297.03
  4. Step 4: Simplify right side
    395.45x = 162,098.18
  5. Step 5: Solve for x
    x = 162,098.18/395.45
  6. Step 6: Final answer
    x = 409.91

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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.