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Finding the Fourth Proportional to 489.84, 735.84 and 381.84

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Solution

The fourth proportional to 489.84, 735.84 and 381.84 is: 573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.84 : 735.84 = 381.84 : x
  2. Step 2: Convert to fraction form
    489.84/735.84 = 381.84/x
  3. Step 3: Cross multiply
    489.84x = 735.84 × 381.84
  4. Step 4: Simplify right side
    489.84x = 280,973.15
  5. Step 5: Solve for x
    x = 280,973.15/489.84
  6. Step 6: Final answer
    x = 573.60

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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.