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Finding the Fourth Proportional to 569.18, 851.10 and 406.36

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Solution

The fourth proportional to 569.18, 851.10 and 406.36 is: 607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.18 : 851.10 = 406.36 : x
  2. Step 2: Convert to fraction form
    569.18/851.10 = 406.36/x
  3. Step 3: Cross multiply
    569.18x = 851.10 × 406.36
  4. Step 4: Simplify right side
    569.18x = 345,853.00
  5. Step 5: Solve for x
    x = 345,853.00/569.18
  6. Step 6: Final answer
    x = 607.63

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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.