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Finding the Fourth Proportional to 576.64, 864.17 and 413.96

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Solution

The fourth proportional to 576.64, 864.17 and 413.96 is: 620.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.64 : 864.17 = 413.96 : x
  2. Step 2: Convert to fraction form
    576.64/864.17 = 413.96/x
  3. Step 3: Cross multiply
    576.64x = 864.17 × 413.96
  4. Step 4: Simplify right side
    576.64x = 357,731.81
  5. Step 5: Solve for x
    x = 357,731.81/576.64
  6. Step 6: Final answer
    x = 620.37

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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.