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Finding the Fourth Proportional to 315.53, 472.97 and 205.91

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Solution

The fourth proportional to 315.53, 472.97 and 205.91 is: 308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.53 : 472.97 = 205.91 : x
  2. Step 2: Convert to fraction form
    315.53/472.97 = 205.91/x
  3. Step 3: Cross multiply
    315.53x = 472.97 × 205.91
  4. Step 4: Simplify right side
    315.53x = 97,385.86
  5. Step 5: Solve for x
    x = 97,385.86/315.53
  6. Step 6: Final answer
    x = 308.65

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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.