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Finding the Fourth Proportional to 566.11, 849.17 and 292.06

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Solution

The fourth proportional to 566.11, 849.17 and 292.06 is: 438.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.11 : 849.17 = 292.06 : x
  2. Step 2: Convert to fraction form
    566.11/849.17 = 292.06/x
  3. Step 3: Cross multiply
    566.11x = 849.17 × 292.06
  4. Step 4: Simplify right side
    566.11x = 248,002.88
  5. Step 5: Solve for x
    x = 248,002.88/566.11
  6. Step 6: Final answer
    x = 438.09

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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.