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Finding the Fourth Proportional to 319.38, 475.24 and 318.30

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Solution

The fourth proportional to 319.38, 475.24 and 318.30 is: 473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.38 : 475.24 = 318.30 : x
  2. Step 2: Convert to fraction form
    319.38/475.24 = 318.30/x
  3. Step 3: Cross multiply
    319.38x = 475.24 × 318.30
  4. Step 4: Simplify right side
    319.38x = 151,268.10
  5. Step 5: Solve for x
    x = 151,268.10/319.38
  6. Step 6: Final answer
    x = 473.63

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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.