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Finding the Fourth Proportional to 489.70, 734.25 and 258.45

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Solution

The fourth proportional to 489.70, 734.25 and 258.45 is: 387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.70 : 734.25 = 258.45 : x
  2. Step 2: Convert to fraction form
    489.70/734.25 = 258.45/x
  3. Step 3: Cross multiply
    489.70x = 734.25 × 258.45
  4. Step 4: Simplify right side
    489.70x = 189,763.67
  5. Step 5: Solve for x
    x = 189,763.67/489.70
  6. Step 6: Final answer
    x = 387.51

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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.