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Finding the Fourth Proportional to 576.96, 864.83 and 284.66

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Solution

The fourth proportional to 576.96, 864.83 and 284.66 is: 426.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.96 : 864.83 = 284.66 : x
  2. Step 2: Convert to fraction form
    576.96/864.83 = 284.66/x
  3. Step 3: Cross multiply
    576.96x = 864.83 × 284.66
  4. Step 4: Simplify right side
    576.96x = 246,176.76
  5. Step 5: Solve for x
    x = 246,176.76/576.96
  6. Step 6: Final answer
    x = 426.68

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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.