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Finding the Fourth Proportional to 577.44, 866.40 and 285.12

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Solution

The fourth proportional to 577.44, 866.40 and 285.12 is: 427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.44 : 866.40 = 285.12 : x
  2. Step 2: Convert to fraction form
    577.44/866.40 = 285.12/x
  3. Step 3: Cross multiply
    577.44x = 866.40 × 285.12
  4. Step 4: Simplify right side
    577.44x = 247,027.97
  5. Step 5: Solve for x
    x = 247,027.97/577.44
  6. Step 6: Final answer
    x = 427.80

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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.