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Finding the Fourth Proportional to 316.36, 475.22 and 257.88

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Solution

The fourth proportional to 316.36, 475.22 and 257.88 is: 387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.36 : 475.22 = 257.88 : x
  2. Step 2: Convert to fraction form
    316.36/475.22 = 257.88/x
  3. Step 3: Cross multiply
    316.36x = 475.22 × 257.88
  4. Step 4: Simplify right side
    316.36x = 122,550.71
  5. Step 5: Solve for x
    x = 122,550.71/316.36
  6. Step 6: Final answer
    x = 387.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.