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Finding the Fourth Proportional to 395.06, 545.40 and 262.31

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Solution

The fourth proportional to 395.06, 545.40 and 262.31 is: 362.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.06 : 545.40 = 262.31 : x
  2. Step 2: Convert to fraction form
    395.06/545.40 = 262.31/x
  3. Step 3: Cross multiply
    395.06x = 545.40 × 262.31
  4. Step 4: Simplify right side
    395.06x = 143,061.15
  5. Step 5: Solve for x
    x = 143,061.15/395.06
  6. Step 6: Final answer
    x = 362.13

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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.