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Finding the Fourth Proportional to 489.36, 732.64 and 379.56

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Solution

The fourth proportional to 489.36, 732.64 and 379.56 is: 568.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.36 : 732.64 = 379.56 : x
  2. Step 2: Convert to fraction form
    489.36/732.64 = 379.56/x
  3. Step 3: Cross multiply
    489.36x = 732.64 × 379.56
  4. Step 4: Simplify right side
    489.36x = 278,080.84
  5. Step 5: Solve for x
    x = 278,080.84/489.36
  6. Step 6: Final answer
    x = 568.25

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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.