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Finding the Fourth Proportional to 567.10, 849.84 and 422.65

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Solution

The fourth proportional to 567.10, 849.84 and 422.65 is: 633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.10 : 849.84 = 422.65 : x
  2. Step 2: Convert to fraction form
    567.10/849.84 = 422.65/x
  3. Step 3: Cross multiply
    567.10x = 849.84 × 422.65
  4. Step 4: Simplify right side
    567.10x = 359,184.88
  5. Step 5: Solve for x
    x = 359,184.88/567.10
  6. Step 6: Final answer
    x = 633.37

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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.