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Finding the Fourth Proportional to 341.59, 470.92 and 286.24

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Solution

The fourth proportional to 341.59, 470.92 and 286.24 is: 394.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.59 : 470.92 = 286.24 : x
  2. Step 2: Convert to fraction form
    341.59/470.92 = 286.24/x
  3. Step 3: Cross multiply
    341.59x = 470.92 × 286.24
  4. Step 4: Simplify right side
    341.59x = 134,796.14
  5. Step 5: Solve for x
    x = 134,796.14/341.59
  6. Step 6: Final answer
    x = 394.61

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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.