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Finding the Fourth Proportional to 591.52, 816.54 and 425.80

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Solution

The fourth proportional to 591.52, 816.54 and 425.80 is: 587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.52 : 816.54 = 425.80 : x
  2. Step 2: Convert to fraction form
    591.52/816.54 = 425.80/x
  3. Step 3: Cross multiply
    591.52x = 816.54 × 425.80
  4. Step 4: Simplify right side
    591.52x = 347,682.73
  5. Step 5: Solve for x
    x = 347,682.73/591.52
  6. Step 6: Final answer
    x = 587.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.