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Finding the Fourth Proportional to 362.40, 541.16 and 310.44

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Solution

The fourth proportional to 362.40, 541.16 and 310.44 is: 463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.40 : 541.16 = 310.44 : x
  2. Step 2: Convert to fraction form
    362.40/541.16 = 310.44/x
  3. Step 3: Cross multiply
    362.40x = 541.16 × 310.44
  4. Step 4: Simplify right side
    362.40x = 167,997.71
  5. Step 5: Solve for x
    x = 167,997.71/362.40
  6. Step 6: Final answer
    x = 463.57

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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.