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Finding the Fourth Proportional to 562.75, 776.37 and 415.73

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Solution

The fourth proportional to 562.75, 776.37 and 415.73 is: 573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.75 : 776.37 = 415.73 : x
  2. Step 2: Convert to fraction form
    562.75/776.37 = 415.73/x
  3. Step 3: Cross multiply
    562.75x = 776.37 × 415.73
  4. Step 4: Simplify right side
    562.75x = 322,760.30
  5. Step 5: Solve for x
    x = 322,760.30/562.75
  6. Step 6: Final answer
    x = 573.54

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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.