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Finding the Fourth Proportional to 576, 863.64 and 380.76

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Solution

The fourth proportional to 576, 863.64 and 380.76 is: 570.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    576 : 863.64 = 380.76 : x
  2. Step 2: Convert to fraction form
    576/863.64 = 380.76/x
  3. Step 3: Cross multiply
    576x = 863.64 × 380.76
  4. Step 4: Simplify right side
    576x = 328,839.57
  5. Step 5: Solve for x
    x = 328,839.57/576
  6. Step 6: Final answer
    x = 570.90

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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.