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Finding the Fourth Proportional to 577.42, 865.38 and 269.20

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Solution

The fourth proportional to 577.42, 865.38 and 269.20 is: 403.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.42 : 865.38 = 269.20 : x
  2. Step 2: Convert to fraction form
    577.42/865.38 = 269.20/x
  3. Step 3: Cross multiply
    577.42x = 865.38 × 269.20
  4. Step 4: Simplify right side
    577.42x = 232,960.30
  5. Step 5: Solve for x
    x = 232,960.30/577.42
  6. Step 6: Final answer
    x = 403.45

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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.