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Finding the Fourth Proportional to 567.30, 849.06 and 323.76

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Solution

The fourth proportional to 567.30, 849.06 and 323.76 is: 484.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.30 : 849.06 = 323.76 : x
  2. Step 2: Convert to fraction form
    567.30/849.06 = 323.76/x
  3. Step 3: Cross multiply
    567.30x = 849.06 × 323.76
  4. Step 4: Simplify right side
    567.30x = 274,891.67
  5. Step 5: Solve for x
    x = 274,891.67/567.30
  6. Step 6: Final answer
    x = 484.56

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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.