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Finding the Fourth Proportional to 578.22, 866.52 and 492.36

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Solution

The fourth proportional to 578.22, 866.52 and 492.36 is: 737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.22 : 866.52 = 492.36 : x
  2. Step 2: Convert to fraction form
    578.22/866.52 = 492.36/x
  3. Step 3: Cross multiply
    578.22x = 866.52 × 492.36
  4. Step 4: Simplify right side
    578.22x = 426,639.79
  5. Step 5: Solve for x
    x = 426,639.79/578.22
  6. Step 6: Final answer
    x = 737.85

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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.