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Finding the Fourth Proportional to 342.06, 472.01 and 209.35

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Solution

The fourth proportional to 342.06, 472.01 and 209.35 is: 288.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.06 : 472.01 = 209.35 : x
  2. Step 2: Convert to fraction form
    342.06/472.01 = 209.35/x
  3. Step 3: Cross multiply
    342.06x = 472.01 × 209.35
  4. Step 4: Simplify right side
    342.06x = 98,811.89
  5. Step 5: Solve for x
    x = 98,811.89/342.06
  6. Step 6: Final answer
    x = 288.88

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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.