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Finding the Fourth Proportional to 565.42, 849.04 and 426.60

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Solution

The fourth proportional to 565.42, 849.04 and 426.60 is: 640.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.42 : 849.04 = 426.60 : x
  2. Step 2: Convert to fraction form
    565.42/849.04 = 426.60/x
  3. Step 3: Cross multiply
    565.42x = 849.04 × 426.60
  4. Step 4: Simplify right side
    565.42x = 362,198.33
  5. Step 5: Solve for x
    x = 362,198.33/565.42
  6. Step 6: Final answer
    x = 640.59

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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.