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Finding the Fourth Proportional to 385.16, 577.74 and 202.31

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Solution

The fourth proportional to 385.16, 577.74 and 202.31 is: 303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.16 : 577.74 = 202.31 : x
  2. Step 2: Convert to fraction form
    385.16/577.74 = 202.31/x
  3. Step 3: Cross multiply
    385.16x = 577.74 × 202.31
  4. Step 4: Simplify right side
    385.16x = 116,882.58
  5. Step 5: Solve for x
    x = 116,882.58/385.16
  6. Step 6: Final answer
    x = 303.47

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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.