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Finding the Fourth Proportional to 354.10, 489.09 and 342.76

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Solution

The fourth proportional to 354.10, 489.09 and 342.76 is: 473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.10 : 489.09 = 342.76 : x
  2. Step 2: Convert to fraction form
    354.10/489.09 = 342.76/x
  3. Step 3: Cross multiply
    354.10x = 489.09 × 342.76
  4. Step 4: Simplify right side
    354.10x = 167,640.49
  5. Step 5: Solve for x
    x = 167,640.49/354.10
  6. Step 6: Final answer
    x = 473.43

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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.