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Finding the Fourth Proportional to 489.43, 734.26 and 284.17

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Solution

The fourth proportional to 489.43, 734.26 and 284.17 is: 426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.43 : 734.26 = 284.17 : x
  2. Step 2: Convert to fraction form
    489.43/734.26 = 284.17/x
  3. Step 3: Cross multiply
    489.43x = 734.26 × 284.17
  4. Step 4: Simplify right side
    489.43x = 208,653.95
  5. Step 5: Solve for x
    x = 208,653.95/489.43
  6. Step 6: Final answer
    x = 426.32

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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.