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Finding the Fourth Proportional to 354.75, 489.58 and 207.43

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Solution

The fourth proportional to 354.75, 489.58 and 207.43 is: 286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.75 : 489.58 = 207.43 : x
  2. Step 2: Convert to fraction form
    354.75/489.58 = 207.43/x
  3. Step 3: Cross multiply
    354.75x = 489.58 × 207.43
  4. Step 4: Simplify right side
    354.75x = 101,551.13
  5. Step 5: Solve for x
    x = 101,551.13/354.75
  6. Step 6: Final answer
    x = 286.27

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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.