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Finding the Fourth Proportional to 489.17, 733.58 and 164.45

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Solution

The fourth proportional to 489.17, 733.58 and 164.45 is: 246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.17 : 733.58 = 164.45 : x
  2. Step 2: Convert to fraction form
    489.17/733.58 = 164.45/x
  3. Step 3: Cross multiply
    489.17x = 733.58 × 164.45
  4. Step 4: Simplify right side
    489.17x = 120,632.74
  5. Step 5: Solve for x
    x = 120,632.74/489.17
  6. Step 6: Final answer
    x = 246.61

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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.