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Finding the Fourth Proportional to 577.91, 866.25 and 285

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Solution

The fourth proportional to 577.91, 866.25 and 285 is: 427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.91 : 866.25 = 285 : x
  2. Step 2: Convert to fraction form
    577.91/866.25 = 285/x
  3. Step 3: Cross multiply
    577.91x = 866.25 × 285
  4. Step 4: Simplify right side
    577.91x = 246,881.25
  5. Step 5: Solve for x
    x = 246,881.25/577.91
  6. Step 6: Final answer
    x = 427.20

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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.