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Finding the Fourth Proportional to 577.13, 866.05 and 235.13

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Solution

The fourth proportional to 577.13, 866.05 and 235.13 is: 352.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.13 : 866.05 = 235.13 : x
  2. Step 2: Convert to fraction form
    577.13/866.05 = 235.13/x
  3. Step 3: Cross multiply
    577.13x = 866.05 × 235.13
  4. Step 4: Simplify right side
    577.13x = 203,629.42
  5. Step 5: Solve for x
    x = 203,629.42/577.13
  6. Step 6: Final answer
    x = 352.83

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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.