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Finding the Fourth Proportional to 567.27, 849.09 and 292.99

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Solution

The fourth proportional to 567.27, 849.09 and 292.99 is: 438.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.27 : 849.09 = 292.99 : x
  2. Step 2: Convert to fraction form
    567.27/849.09 = 292.99/x
  3. Step 3: Cross multiply
    567.27x = 849.09 × 292.99
  4. Step 4: Simplify right side
    567.27x = 248,773.78
  5. Step 5: Solve for x
    x = 248,773.78/567.27
  6. Step 6: Final answer
    x = 438.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.