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Finding the Fourth Proportional to 566.35, 849.52 and 385.31

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Solution

The fourth proportional to 566.35, 849.52 and 385.31 is: 577.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.35 : 849.52 = 385.31 : x
  2. Step 2: Convert to fraction form
    566.35/849.52 = 385.31/x
  3. Step 3: Cross multiply
    566.35x = 849.52 × 385.31
  4. Step 4: Simplify right side
    566.35x = 327,331.16
  5. Step 5: Solve for x
    x = 327,331.16/566.35
  6. Step 6: Final answer
    x = 577.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.