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Finding the Fourth Proportional to 315.52, 471.32 and 266.88

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Solution

The fourth proportional to 315.52, 471.32 and 266.88 is: 398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.52 : 471.32 = 266.88 : x
  2. Step 2: Convert to fraction form
    315.52/471.32 = 266.88/x
  3. Step 3: Cross multiply
    315.52x = 471.32 × 266.88
  4. Step 4: Simplify right side
    315.52x = 125,785.88
  5. Step 5: Solve for x
    x = 125,785.88/315.52
  6. Step 6: Final answer
    x = 398.66

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Why These Related Problems?

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