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Finding the Fourth Proportional to 566.72, 849.92 and 274.04

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Solution

The fourth proportional to 566.72, 849.92 and 274.04 is: 410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.72 : 849.92 = 274.04 : x
  2. Step 2: Convert to fraction form
    566.72/849.92 = 274.04/x
  3. Step 3: Cross multiply
    566.72x = 849.92 × 274.04
  4. Step 4: Simplify right side
    566.72x = 232,912.08
  5. Step 5: Solve for x
    x = 232,912.08/566.72
  6. Step 6: Final answer
    x = 410.98

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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.