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Finding the Fourth Proportional to 489.65, 734.54 and 197.15

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Solution

The fourth proportional to 489.65, 734.54 and 197.15 is: 295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.65 : 734.54 = 197.15 : x
  2. Step 2: Convert to fraction form
    489.65/734.54 = 197.15/x
  3. Step 3: Cross multiply
    489.65x = 734.54 × 197.15
  4. Step 4: Simplify right side
    489.65x = 144,809.90
  5. Step 5: Solve for x
    x = 144,809.90/489.65
  6. Step 6: Final answer
    x = 295.74

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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.