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Finding the Fourth Proportional to 577.46, 865.80 and 269.14

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Solution

The fourth proportional to 577.46, 865.80 and 269.14 is: 403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.46 : 865.80 = 269.14 : x
  2. Step 2: Convert to fraction form
    577.46/865.80 = 269.14/x
  3. Step 3: Cross multiply
    577.46x = 865.80 × 269.14
  4. Step 4: Simplify right side
    577.46x = 233,021.41
  5. Step 5: Solve for x
    x = 233,021.41/577.46
  6. Step 6: Final answer
    x = 403.53

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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.