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Finding the Fourth Proportional to 564.60, 847.17 and 443.91

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Solution

The fourth proportional to 564.60, 847.17 and 443.91 is: 666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.60 : 847.17 = 443.91 : x
  2. Step 2: Convert to fraction form
    564.60/847.17 = 443.91/x
  3. Step 3: Cross multiply
    564.60x = 847.17 × 443.91
  4. Step 4: Simplify right side
    564.60x = 376,067.23
  5. Step 5: Solve for x
    x = 376,067.23/564.60
  6. Step 6: Final answer
    x = 666.08

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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.