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Finding the Fourth Proportional to 583.75, 874.20 and 562.78

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Solution

The fourth proportional to 583.75, 874.20 and 562.78 is: 842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.75 : 874.20 = 562.78 : x
  2. Step 2: Convert to fraction form
    583.75/874.20 = 562.78/x
  3. Step 3: Cross multiply
    583.75x = 874.20 × 562.78
  4. Step 4: Simplify right side
    583.75x = 491,982.28
  5. Step 5: Solve for x
    x = 491,982.28/583.75
  6. Step 6: Final answer
    x = 842.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.