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Finding the Fourth Proportional to 576.52, 864.78 and 382.76

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Solution

The fourth proportional to 576.52, 864.78 and 382.76 is: 574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.52 : 864.78 = 382.76 : x
  2. Step 2: Convert to fraction form
    576.52/864.78 = 382.76/x
  3. Step 3: Cross multiply
    576.52x = 864.78 × 382.76
  4. Step 4: Simplify right side
    576.52x = 331,003.19
  5. Step 5: Solve for x
    x = 331,003.19/576.52
  6. Step 6: Final answer
    x = 574.14

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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.