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Finding the Fourth Proportional to 559.52, 838.14 and 284.80

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Solution

The fourth proportional to 559.52, 838.14 and 284.80 is: 426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.52 : 838.14 = 284.80 : x
  2. Step 2: Convert to fraction form
    559.52/838.14 = 284.80/x
  3. Step 3: Cross multiply
    559.52x = 838.14 × 284.80
  4. Step 4: Simplify right side
    559.52x = 238,702.27
  5. Step 5: Solve for x
    x = 238,702.27/559.52
  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.