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Finding the Fourth Proportional to 577.83, 866.94 and 269.71

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Solution

The fourth proportional to 577.83, 866.94 and 269.71 is: 404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.83 : 866.94 = 269.71 : x
  2. Step 2: Convert to fraction form
    577.83/866.94 = 269.71/x
  3. Step 3: Cross multiply
    577.83x = 866.94 × 269.71
  4. Step 4: Simplify right side
    577.83x = 233,823.39
  5. Step 5: Solve for x
    x = 233,823.39/577.83
  6. Step 6: Final answer
    x = 404.66

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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.