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Finding the Fourth Proportional to 386.10, 577.83 and 231.66

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Solution

The fourth proportional to 386.10, 577.83 and 231.66 is: 346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.10 : 577.83 = 231.66 : x
  2. Step 2: Convert to fraction form
    386.10/577.83 = 231.66/x
  3. Step 3: Cross multiply
    386.10x = 577.83 × 231.66
  4. Step 4: Simplify right side
    386.10x = 133,860.10
  5. Step 5: Solve for x
    x = 133,860.10/386.10
  6. Step 6: Final answer
    x = 346.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.