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Finding the Fourth Proportional to 385.56, 577.94 and 202.77

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Solution

The fourth proportional to 385.56, 577.94 and 202.77 is: 303.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.56 : 577.94 = 202.77 : x
  2. Step 2: Convert to fraction form
    385.56/577.94 = 202.77/x
  3. Step 3: Cross multiply
    385.56x = 577.94 × 202.77
  4. Step 4: Simplify right side
    385.56x = 117,187.88
  5. Step 5: Solve for x
    x = 117,187.88/385.56
  6. Step 6: Final answer
    x = 303.94

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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.