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Finding the Fourth Proportional to 385.13, 577.67 and 211.86

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Solution

The fourth proportional to 385.13, 577.67 and 211.86 is: 317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.13 : 577.67 = 211.86 : x
  2. Step 2: Convert to fraction form
    385.13/577.67 = 211.86/x
  3. Step 3: Cross multiply
    385.13x = 577.67 × 211.86
  4. Step 4: Simplify right side
    385.13x = 122,384.11
  5. Step 5: Solve for x
    x = 122,384.11/385.13
  6. Step 6: Final answer
    x = 317.78

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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.