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Finding the Fourth Proportional to 566.44, 848.94 and 404.20

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Solution

The fourth proportional to 566.44, 848.94 and 404.20 is: 605.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.44 : 848.94 = 404.20 : x
  2. Step 2: Convert to fraction form
    566.44/848.94 = 404.20/x
  3. Step 3: Cross multiply
    566.44x = 848.94 × 404.20
  4. Step 4: Simplify right side
    566.44x = 343,141.55
  5. Step 5: Solve for x
    x = 343,141.55/566.44
  6. Step 6: Final answer
    x = 605.79

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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.