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Finding the Fourth Proportional to 395.23, 545.02 and 262.41

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Solution

The fourth proportional to 395.23, 545.02 and 262.41 is: 361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.23 : 545.02 = 262.41 : x
  2. Step 2: Convert to fraction form
    395.23/545.02 = 262.41/x
  3. Step 3: Cross multiply
    395.23x = 545.02 × 262.41
  4. Step 4: Simplify right side
    395.23x = 143,014.66
  5. Step 5: Solve for x
    x = 143,014.66/395.23
  6. Step 6: Final answer
    x = 361.85

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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.