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Finding the Fourth Proportional to 342.99, 473.49 and 212.04

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Solution

The fourth proportional to 342.99, 473.49 and 212.04 is: 292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.99 : 473.49 = 212.04 : x
  2. Step 2: Convert to fraction form
    342.99/473.49 = 212.04/x
  3. Step 3: Cross multiply
    342.99x = 473.49 × 212.04
  4. Step 4: Simplify right side
    342.99x = 100,398.82
  5. Step 5: Solve for x
    x = 100,398.82/342.99
  6. Step 6: Final answer
    x = 292.72

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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.