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Finding the Fourth Proportional to 489.55, 734.76 and 229.69

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Solution

The fourth proportional to 489.55, 734.76 and 229.69 is: 344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.55 : 734.76 = 229.69 : x
  2. Step 2: Convert to fraction form
    489.55/734.76 = 229.69/x
  3. Step 3: Cross multiply
    489.55x = 734.76 × 229.69
  4. Step 4: Simplify right side
    489.55x = 168,767.02
  5. Step 5: Solve for x
    x = 168,767.02/489.55
  6. Step 6: Final answer
    x = 344.74

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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.