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Finding the Fourth Proportional to 342.45, 472.59 and 209.66

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Solution

The fourth proportional to 342.45, 472.59 and 209.66 is: 289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.45 : 472.59 = 209.66 : x
  2. Step 2: Convert to fraction form
    342.45/472.59 = 209.66/x
  3. Step 3: Cross multiply
    342.45x = 472.59 × 209.66
  4. Step 4: Simplify right side
    342.45x = 99,080.86
  5. Step 5: Solve for x
    x = 99,080.86/342.45
  6. Step 6: Final answer
    x = 289.33

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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.