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Finding the Fourth Proportional to 578.78, 871.30 and 528.56

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Solution

The fourth proportional to 578.78, 871.30 and 528.56 is: 795.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.78 : 871.30 = 528.56 : x
  2. Step 2: Convert to fraction form
    578.78/871.30 = 528.56/x
  3. Step 3: Cross multiply
    578.78x = 871.30 × 528.56
  4. Step 4: Simplify right side
    578.78x = 460,531.69
  5. Step 5: Solve for x
    x = 460,531.69/578.78
  6. Step 6: Final answer
    x = 795.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.