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Finding the Fourth Proportional to 567.26, 849.52 and 323.05

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Solution

The fourth proportional to 567.26, 849.52 and 323.05 is: 483.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.26 : 849.52 = 323.05 : x
  2. Step 2: Convert to fraction form
    567.26/849.52 = 323.05/x
  3. Step 3: Cross multiply
    567.26x = 849.52 × 323.05
  4. Step 4: Simplify right side
    567.26x = 274,437.44
  5. Step 5: Solve for x
    x = 274,437.44/567.26
  6. Step 6: Final answer
    x = 483.79

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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.