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Finding the Fourth Proportional to 385.33, 577.69 and 222.83

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Solution

The fourth proportional to 385.33, 577.69 and 222.83 is: 334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.33 : 577.69 = 222.83 : x
  2. Step 2: Convert to fraction form
    385.33/577.69 = 222.83/x
  3. Step 3: Cross multiply
    385.33x = 577.69 × 222.83
  4. Step 4: Simplify right side
    385.33x = 128,726.66
  5. Step 5: Solve for x
    x = 128,726.66/385.33
  6. Step 6: Final answer
    x = 334.07

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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.