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Finding the Fourth Proportional to 315.29, 472.13 and 263.80

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Solution

The fourth proportional to 315.29, 472.13 and 263.80 is: 395.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.29 : 472.13 = 263.80 : x
  2. Step 2: Convert to fraction form
    315.29/472.13 = 263.80/x
  3. Step 3: Cross multiply
    315.29x = 472.13 × 263.80
  4. Step 4: Simplify right side
    315.29x = 124,545.39
  5. Step 5: Solve for x
    x = 124,545.39/315.29
  6. Step 6: Final answer
    x = 395.02

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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.