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Finding the Fourth Proportional to 641.18, 882.81 and 566.43

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Solution

The fourth proportional to 641.18, 882.81 and 566.43 is: 779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.18 : 882.81 = 566.43 : x
  2. Step 2: Convert to fraction form
    641.18/882.81 = 566.43/x
  3. Step 3: Cross multiply
    641.18x = 882.81 × 566.43
  4. Step 4: Simplify right side
    641.18x = 500,050.07
  5. Step 5: Solve for x
    x = 500,050.07/641.18
  6. Step 6: Final answer
    x = 779.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.