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Finding the Fourth Proportional to 341.30, 470.48 and 294.46

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Solution

The fourth proportional to 341.30, 470.48 and 294.46 is: 405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.30 : 470.48 = 294.46 : x
  2. Step 2: Convert to fraction form
    341.30/470.48 = 294.46/x
  3. Step 3: Cross multiply
    341.30x = 470.48 × 294.46
  4. Step 4: Simplify right side
    341.30x = 138,537.54
  5. Step 5: Solve for x
    x = 138,537.54/341.30
  6. Step 6: Final answer
    x = 405.91

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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.