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Finding the Fourth Proportional to 565.58, 847.74 and 241.22

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Solution

The fourth proportional to 565.58, 847.74 and 241.22 is: 361.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.58 : 847.74 = 241.22 : x
  2. Step 2: Convert to fraction form
    565.58/847.74 = 241.22/x
  3. Step 3: Cross multiply
    565.58x = 847.74 × 241.22
  4. Step 4: Simplify right side
    565.58x = 204,491.84
  5. Step 5: Solve for x
    x = 204,491.84/565.58
  6. Step 6: Final answer
    x = 361.56

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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.