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Finding the Fourth Proportional to 576.56, 864.54 and 411.93

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Solution

The fourth proportional to 576.56, 864.54 and 411.93 is: 617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.56 : 864.54 = 411.93 : x
  2. Step 2: Convert to fraction form
    576.56/864.54 = 411.93/x
  3. Step 3: Cross multiply
    576.56x = 864.54 × 411.93
  4. Step 4: Simplify right side
    576.56x = 356,129.96
  5. Step 5: Solve for x
    x = 356,129.96/576.56
  6. Step 6: Final answer
    x = 617.69

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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.