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Finding the Fourth Proportional to 362.43, 541.11 and 313.62

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Solution

The fourth proportional to 362.43, 541.11 and 313.62 is: 468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.43 : 541.11 = 313.62 : x
  2. Step 2: Convert to fraction form
    362.43/541.11 = 313.62/x
  3. Step 3: Cross multiply
    362.43x = 541.11 × 313.62
  4. Step 4: Simplify right side
    362.43x = 169,702.92
  5. Step 5: Solve for x
    x = 169,702.92/362.43
  6. Step 6: Final answer
    x = 468.24

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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.