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Finding the Fourth Proportional to 385.80, 577.98 and 202.74

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Solution

The fourth proportional to 385.80, 577.98 and 202.74 is: 303.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.80 : 577.98 = 202.74 : x
  2. Step 2: Convert to fraction form
    385.80/577.98 = 202.74/x
  3. Step 3: Cross multiply
    385.80x = 577.98 × 202.74
  4. Step 4: Simplify right side
    385.80x = 117,179.67
  5. Step 5: Solve for x
    x = 117,179.67/385.80
  6. Step 6: Final answer
    x = 303.73

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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.