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Finding the Fourth Proportional to 578.96, 866.82 and 533.60

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Solution

The fourth proportional to 578.96, 866.82 and 533.60 is: 798.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.96 : 866.82 = 533.60 : x
  2. Step 2: Convert to fraction form
    578.96/866.82 = 533.60/x
  3. Step 3: Cross multiply
    578.96x = 866.82 × 533.60
  4. Step 4: Simplify right side
    578.96x = 462,535.15
  5. Step 5: Solve for x
    x = 462,535.15/578.96
  6. Step 6: Final answer
    x = 798.91

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Why These Related Problems?

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