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Finding the Fourth Proportional to 577.26, 865.76 and 284.46

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Solution

The fourth proportional to 577.26, 865.76 and 284.46 is: 426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.26 : 865.76 = 284.46 : x
  2. Step 2: Convert to fraction form
    577.26/865.76 = 284.46/x
  3. Step 3: Cross multiply
    577.26x = 865.76 × 284.46
  4. Step 4: Simplify right side
    577.26x = 246,272.67
  5. Step 5: Solve for x
    x = 246,272.67/577.26
  6. Step 6: Final answer
    x = 426.62

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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.