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Finding the Fourth Proportional to 362.12, 545.87 and 341.24

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Solution

The fourth proportional to 362.12, 545.87 and 341.24 is: 514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.12 : 545.87 = 341.24 : x
  2. Step 2: Convert to fraction form
    362.12/545.87 = 341.24/x
  3. Step 3: Cross multiply
    362.12x = 545.87 × 341.24
  4. Step 4: Simplify right side
    362.12x = 186,272.68
  5. Step 5: Solve for x
    x = 186,272.68/362.12
  6. Step 6: Final answer
    x = 514.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.