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Finding the Fourth Proportional to 578.56, 863 and 560.32

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Solution

The fourth proportional to 578.56, 863 and 560.32 is: 835.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.56 : 863 = 560.32 : x
  2. Step 2: Convert to fraction form
    578.56/863 = 560.32/x
  3. Step 3: Cross multiply
    578.56x = 863 × 560.32
  4. Step 4: Simplify right side
    578.56x = 483,556.16
  5. Step 5: Solve for x
    x = 483,556.16/578.56
  6. Step 6: Final answer
    x = 835.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.