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Finding the Fourth Proportional to 310.56, 462.24 and 301.92

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Solution

The fourth proportional to 310.56, 462.24 and 301.92 is: 449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.56 : 462.24 = 301.92 : x
  2. Step 2: Convert to fraction form
    310.56/462.24 = 301.92/x
  3. Step 3: Cross multiply
    310.56x = 462.24 × 301.92
  4. Step 4: Simplify right side
    310.56x = 139,559.50
  5. Step 5: Solve for x
    x = 139,559.50/310.56
  6. Step 6: Final answer
    x = 449.38

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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.