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Finding the Fourth Proportional to 342.43, 472.38 and 209.60

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Solution

The fourth proportional to 342.43, 472.38 and 209.60 is: 289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.43 : 472.38 = 209.60 : x
  2. Step 2: Convert to fraction form
    342.43/472.38 = 209.60/x
  3. Step 3: Cross multiply
    342.43x = 472.38 × 209.60
  4. Step 4: Simplify right side
    342.43x = 99,009.47
  5. Step 5: Solve for x
    x = 99,009.47/342.43
  6. Step 6: Final answer
    x = 289.14

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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.