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Finding the Fourth Proportional to 341, 470.68 and 224.72

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Solution

The fourth proportional to 341, 470.68 and 224.72 is: 310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    341 : 470.68 = 224.72 : x
  2. Step 2: Convert to fraction form
    341/470.68 = 224.72/x
  3. Step 3: Cross multiply
    341x = 470.68 × 224.72
  4. Step 4: Simplify right side
    341x = 105,771.21
  5. Step 5: Solve for x
    x = 105,771.21/341
  6. Step 6: Final answer
    x = 310.18

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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.