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Finding the Fourth Proportional to 363.84, 544.94 and 355.74

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Solution

The fourth proportional to 363.84, 544.94 and 355.74 is: 532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.84 : 544.94 = 355.74 : x
  2. Step 2: Convert to fraction form
    363.84/544.94 = 355.74/x
  3. Step 3: Cross multiply
    363.84x = 544.94 × 355.74
  4. Step 4: Simplify right side
    363.84x = 193,856.96
  5. Step 5: Solve for x
    x = 193,856.96/363.84
  6. Step 6: Final answer
    x = 532.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.