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Finding the Fourth Proportional to 341.21, 470.68 and 252.52

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Solution

The fourth proportional to 341.21, 470.68 and 252.52 is: 348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.21 : 470.68 = 252.52 : x
  2. Step 2: Convert to fraction form
    341.21/470.68 = 252.52/x
  3. Step 3: Cross multiply
    341.21x = 470.68 × 252.52
  4. Step 4: Simplify right side
    341.21x = 118,854.31
  5. Step 5: Solve for x
    x = 118,854.31/341.21
  6. Step 6: Final answer
    x = 348.33

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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.