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Finding the Fourth Proportional to 489.84, 734.16 and 327.84

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Solution

The fourth proportional to 489.84, 734.16 and 327.84 is: 491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.84 : 734.16 = 327.84 : x
  2. Step 2: Convert to fraction form
    489.84/734.16 = 327.84/x
  3. Step 3: Cross multiply
    489.84x = 734.16 × 327.84
  4. Step 4: Simplify right side
    489.84x = 240,687.01
  5. Step 5: Solve for x
    x = 240,687.01/489.84
  6. Step 6: Final answer
    x = 491.36

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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.