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Finding the Fourth Proportional to 315.50, 473.34 and 224.78

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Solution

The fourth proportional to 315.50, 473.34 and 224.78 is: 337.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.50 : 473.34 = 224.78 : x
  2. Step 2: Convert to fraction form
    315.50/473.34 = 224.78/x
  3. Step 3: Cross multiply
    315.50x = 473.34 × 224.78
  4. Step 4: Simplify right side
    315.50x = 106,397.37
  5. Step 5: Solve for x
    x = 106,397.37/315.50
  6. Step 6: Final answer
    x = 337.23

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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.