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Finding the Fourth Proportional to 566.49, 847.83 and 399.09

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Solution

The fourth proportional to 566.49, 847.83 and 399.09 is: 597.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.49 : 847.83 = 399.09 : x
  2. Step 2: Convert to fraction form
    566.49/847.83 = 399.09/x
  3. Step 3: Cross multiply
    566.49x = 847.83 × 399.09
  4. Step 4: Simplify right side
    566.49x = 338,360.47
  5. Step 5: Solve for x
    x = 338,360.47/566.49
  6. Step 6: Final answer
    x = 597.29

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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.