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Finding the Fourth Proportional to 315.96, 473.62 and 254.96

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Solution

The fourth proportional to 315.96, 473.62 and 254.96 is: 382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.96 : 473.62 = 254.96 : x
  2. Step 2: Convert to fraction form
    315.96/473.62 = 254.96/x
  3. Step 3: Cross multiply
    315.96x = 473.62 × 254.96
  4. Step 4: Simplify right side
    315.96x = 120,754.16
  5. Step 5: Solve for x
    x = 120,754.16/315.96
  6. Step 6: Final answer
    x = 382.18

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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.