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Finding the Fourth Proportional to 578.22, 869.41 and 533.12

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Solution

The fourth proportional to 578.22, 869.41 and 533.12 is: 801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.22 : 869.41 = 533.12 : x
  2. Step 2: Convert to fraction form
    578.22/869.41 = 533.12/x
  3. Step 3: Cross multiply
    578.22x = 869.41 × 533.12
  4. Step 4: Simplify right side
    578.22x = 463,496.35
  5. Step 5: Solve for x
    x = 463,496.35/578.22
  6. Step 6: Final answer
    x = 801.60

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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.