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Finding the Fourth Proportional to 342.64, 472.73 and 209.72

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Solution

The fourth proportional to 342.64, 472.73 and 209.72 is: 289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.64 : 472.73 = 209.72 : x
  2. Step 2: Convert to fraction form
    342.64/472.73 = 209.72/x
  3. Step 3: Cross multiply
    342.64x = 472.73 × 209.72
  4. Step 4: Simplify right side
    342.64x = 99,141.61
  5. Step 5: Solve for x
    x = 99,141.61/342.64
  6. Step 6: Final answer
    x = 289.35

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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.