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Finding the Fourth Proportional to 342.74, 473.01 and 209.96

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Solution

The fourth proportional to 342.74, 473.01 and 209.96 is: 289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.74 : 473.01 = 209.96 : x
  2. Step 2: Convert to fraction form
    342.74/473.01 = 209.96/x
  3. Step 3: Cross multiply
    342.74x = 473.01 × 209.96
  4. Step 4: Simplify right side
    342.74x = 99,313.18
  5. Step 5: Solve for x
    x = 99,313.18/342.74
  6. Step 6: Final answer
    x = 289.76

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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.