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Finding the Fourth Proportional to 577.92, 866.16 and 269.37

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Solution

The fourth proportional to 577.92, 866.16 and 269.37 is: 403.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.92 : 866.16 = 269.37 : x
  2. Step 2: Convert to fraction form
    577.92/866.16 = 269.37/x
  3. Step 3: Cross multiply
    577.92x = 866.16 × 269.37
  4. Step 4: Simplify right side
    577.92x = 233,317.52
  5. Step 5: Solve for x
    x = 233,317.52/577.92
  6. Step 6: Final answer
    x = 403.72

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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.