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Finding the Fourth Proportional to 362.08, 540.18 and 310.12

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Solution

The fourth proportional to 362.08, 540.18 and 310.12 is: 462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.08 : 540.18 = 310.12 : x
  2. Step 2: Convert to fraction form
    362.08/540.18 = 310.12/x
  3. Step 3: Cross multiply
    362.08x = 540.18 × 310.12
  4. Step 4: Simplify right side
    362.08x = 167,520.62
  5. Step 5: Solve for x
    x = 167,520.62/362.08
  6. Step 6: Final answer
    x = 462.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.