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Finding the Fourth Proportional to 354.84, 489.55 and 207.44

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Solution

The fourth proportional to 354.84, 489.55 and 207.44 is: 286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.84 : 489.55 = 207.44 : x
  2. Step 2: Convert to fraction form
    354.84/489.55 = 207.44/x
  3. Step 3: Cross multiply
    354.84x = 489.55 × 207.44
  4. Step 4: Simplify right side
    354.84x = 101,552.25
  5. Step 5: Solve for x
    x = 101,552.25/354.84
  6. Step 6: Final answer
    x = 286.19

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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.