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Finding the Fourth Proportional to 318.44, 474.11 and 313.88

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Solution

The fourth proportional to 318.44, 474.11 and 313.88 is: 467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.44 : 474.11 = 313.88 : x
  2. Step 2: Convert to fraction form
    318.44/474.11 = 313.88/x
  3. Step 3: Cross multiply
    318.44x = 474.11 × 313.88
  4. Step 4: Simplify right side
    318.44x = 148,813.26
  5. Step 5: Solve for x
    x = 148,813.26/318.44
  6. Step 6: Final answer
    x = 467.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.