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Finding the Fourth Proportional to 489.70, 734.55 and 381.57

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Solution

The fourth proportional to 489.70, 734.55 and 381.57 is: 572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.70 : 734.55 = 381.57 : x
  2. Step 2: Convert to fraction form
    489.70/734.55 = 381.57/x
  3. Step 3: Cross multiply
    489.70x = 734.55 × 381.57
  4. Step 4: Simplify right side
    489.70x = 280,282.24
  5. Step 5: Solve for x
    x = 280,282.24/489.70
  6. Step 6: Final answer
    x = 572.36

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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.