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Finding the Fourth Proportional to 342.57, 472.83 and 224.65

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Solution

The fourth proportional to 342.57, 472.83 and 224.65 is: 310.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.57 : 472.83 = 224.65 : x
  2. Step 2: Convert to fraction form
    342.57/472.83 = 224.65/x
  3. Step 3: Cross multiply
    342.57x = 472.83 × 224.65
  4. Step 4: Simplify right side
    342.57x = 106,221.01
  5. Step 5: Solve for x
    x = 106,221.01/342.57
  6. Step 6: Final answer
    x = 310.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.