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Finding the Fourth Proportional to 342.29, 472.58 and 216.29

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Solution

The fourth proportional to 342.29, 472.58 and 216.29 is: 298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.29 : 472.58 = 216.29 : x
  2. Step 2: Convert to fraction form
    342.29/472.58 = 216.29/x
  3. Step 3: Cross multiply
    342.29x = 472.58 × 216.29
  4. Step 4: Simplify right side
    342.29x = 102,214.33
  5. Step 5: Solve for x
    x = 102,214.33/342.29
  6. Step 6: Final answer
    x = 298.62

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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.