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Finding the Fourth Proportional to 318.40, 475.92 and 310.72

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Solution

The fourth proportional to 318.40, 475.92 and 310.72 is: 464.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.40 : 475.92 = 310.72 : x
  2. Step 2: Convert to fraction form
    318.40/475.92 = 310.72/x
  3. Step 3: Cross multiply
    318.40x = 475.92 × 310.72
  4. Step 4: Simplify right side
    318.40x = 147,877.86
  5. Step 5: Solve for x
    x = 147,877.86/318.40
  6. Step 6: Final answer
    x = 464.44

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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.