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Finding the Fourth Proportional to 565.62, 848.44 and 195.41

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Solution

The fourth proportional to 565.62, 848.44 and 195.41 is: 293.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.62 : 848.44 = 195.41 : x
  2. Step 2: Convert to fraction form
    565.62/848.44 = 195.41/x
  3. Step 3: Cross multiply
    565.62x = 848.44 × 195.41
  4. Step 4: Simplify right side
    565.62x = 165,796.03
  5. Step 5: Solve for x
    x = 165,796.03/565.62
  6. Step 6: Final answer
    x = 293.12

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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.