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Finding the Fourth Proportional to 562.96, 776.89 and 323.73

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Solution

The fourth proportional to 562.96, 776.89 and 323.73 is: 446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.96 : 776.89 = 323.73 : x
  2. Step 2: Convert to fraction form
    562.96/776.89 = 323.73/x
  3. Step 3: Cross multiply
    562.96x = 776.89 × 323.73
  4. Step 4: Simplify right side
    562.96x = 251,498.72
  5. Step 5: Solve for x
    x = 251,498.72/562.96
  6. Step 6: Final answer
    x = 446.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.