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Finding the Fourth Proportional to 566.82, 843.33 and 564.90

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Solution

The fourth proportional to 566.82, 843.33 and 564.90 is: 840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.82 : 843.33 = 564.90 : x
  2. Step 2: Convert to fraction form
    566.82/843.33 = 564.90/x
  3. Step 3: Cross multiply
    566.82x = 843.33 × 564.90
  4. Step 4: Simplify right side
    566.82x = 476,397.12
  5. Step 5: Solve for x
    x = 476,397.12/566.82
  6. Step 6: Final answer
    x = 840.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.