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Finding the Fourth Proportional to 576.49, 864.74 and 186.82

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Solution

The fourth proportional to 576.49, 864.74 and 186.82 is: 280.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.49 : 864.74 = 186.82 : x
  2. Step 2: Convert to fraction form
    576.49/864.74 = 186.82/x
  3. Step 3: Cross multiply
    576.49x = 864.74 × 186.82
  4. Step 4: Simplify right side
    576.49x = 161,549.46
  5. Step 5: Solve for x
    x = 161,549.46/576.49
  6. Step 6: Final answer
    x = 280.23

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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.