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Finding the Fourth Proportional to 341.12, 470.88 and 224.64

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Solution

The fourth proportional to 341.12, 470.88 and 224.64 is: 310.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.12 : 470.88 = 224.64 : x
  2. Step 2: Convert to fraction form
    341.12/470.88 = 224.64/x
  3. Step 3: Cross multiply
    341.12x = 470.88 × 224.64
  4. Step 4: Simplify right side
    341.12x = 105,778.48
  5. Step 5: Solve for x
    x = 105,778.48/341.12
  6. Step 6: Final answer
    x = 310.09

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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.