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Finding the Fourth Proportional to 315.96, 475.44 and 264.96

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Solution

The fourth proportional to 315.96, 475.44 and 264.96 is: 398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.96 : 475.44 = 264.96 : x
  2. Step 2: Convert to fraction form
    315.96/475.44 = 264.96/x
  3. Step 3: Cross multiply
    315.96x = 475.44 × 264.96
  4. Step 4: Simplify right side
    315.96x = 125,972.58
  5. Step 5: Solve for x
    x = 125,972.58/315.96
  6. Step 6: Final answer
    x = 398.70

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Why These Related Problems?

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