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Finding the Fourth Proportional to 569.16, 851.41 and 404.61

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Solution

The fourth proportional to 569.16, 851.41 and 404.61 is: 605.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.16 : 851.41 = 404.61 : x
  2. Step 2: Convert to fraction form
    569.16/851.41 = 404.61/x
  3. Step 3: Cross multiply
    569.16x = 851.41 × 404.61
  4. Step 4: Simplify right side
    569.16x = 344,486.98
  5. Step 5: Solve for x
    x = 344,486.98/569.16
  6. Step 6: Final answer
    x = 605.26

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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.