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Finding the Fourth Proportional to 315.27, 472.29 and 257.56

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Solution

The fourth proportional to 315.27, 472.29 and 257.56 is: 385.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.27 : 472.29 = 257.56 : x
  2. Step 2: Convert to fraction form
    315.27/472.29 = 257.56/x
  3. Step 3: Cross multiply
    315.27x = 472.29 × 257.56
  4. Step 4: Simplify right side
    315.27x = 121,641.62
  5. Step 5: Solve for x
    x = 121,641.62/315.27
  6. Step 6: Final answer
    x = 385.84

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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.