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Finding the Fourth Proportional to 566.97, 850.47 and 274.42

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Solution

The fourth proportional to 566.97, 850.47 and 274.42 is: 411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.97 : 850.47 = 274.42 : x
  2. Step 2: Convert to fraction form
    566.97/850.47 = 274.42/x
  3. Step 3: Cross multiply
    566.97x = 850.47 × 274.42
  4. Step 4: Simplify right side
    566.97x = 233,386.01
  5. Step 5: Solve for x
    x = 233,386.01/566.97
  6. Step 6: Final answer
    x = 411.64

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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.