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Finding the Fourth Proportional to 566.11, 849.11 and 468.23

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Solution

The fourth proportional to 566.11, 849.11 and 468.23 is: 702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.11 : 849.11 = 468.23 : x
  2. Step 2: Convert to fraction form
    566.11/849.11 = 468.23/x
  3. Step 3: Cross multiply
    566.11x = 849.11 × 468.23
  4. Step 4: Simplify right side
    566.11x = 397,578.78
  5. Step 5: Solve for x
    x = 397,578.78/566.11
  6. Step 6: Final answer
    x = 702.30

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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.