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Finding the Fourth Proportional to 559.92, 837.46 and 404.08

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Solution

The fourth proportional to 559.92, 837.46 and 404.08 is: 604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.92 : 837.46 = 404.08 : x
  2. Step 2: Convert to fraction form
    559.92/837.46 = 404.08/x
  3. Step 3: Cross multiply
    559.92x = 837.46 × 404.08
  4. Step 4: Simplify right side
    559.92x = 338,400.84
  5. Step 5: Solve for x
    x = 338,400.84/559.92
  6. Step 6: Final answer
    x = 604.37

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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.