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Finding the Fourth Proportional to 395.66, 545.64 and 271.46

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Solution

The fourth proportional to 395.66, 545.64 and 271.46 is: 374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.66 : 545.64 = 271.46 : x
  2. Step 2: Convert to fraction form
    395.66/545.64 = 271.46/x
  3. Step 3: Cross multiply
    395.66x = 545.64 × 271.46
  4. Step 4: Simplify right side
    395.66x = 148,119.43
  5. Step 5: Solve for x
    x = 148,119.43/395.66
  6. Step 6: Final answer
    x = 374.36

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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.