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Finding the Fourth Proportional to 577.09, 866.13 and 230.67

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Solution

The fourth proportional to 577.09, 866.13 and 230.67 is: 346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.09 : 866.13 = 230.67 : x
  2. Step 2: Convert to fraction form
    577.09/866.13 = 230.67/x
  3. Step 3: Cross multiply
    577.09x = 866.13 × 230.67
  4. Step 4: Simplify right side
    577.09x = 199,789.34
  5. Step 5: Solve for x
    x = 199,789.34/577.09
  6. Step 6: Final answer
    x = 346.20

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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.