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Finding the Fourth Proportional to 567.06, 849.36 and 274.12

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Solution

The fourth proportional to 567.06, 849.36 and 274.12 is: 410.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.06 : 849.36 = 274.12 : x
  2. Step 2: Convert to fraction form
    567.06/849.36 = 274.12/x
  3. Step 3: Cross multiply
    567.06x = 849.36 × 274.12
  4. Step 4: Simplify right side
    567.06x = 232,826.56
  5. Step 5: Solve for x
    x = 232,826.56/567.06
  6. Step 6: Final answer
    x = 410.59

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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.