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Finding the Fourth Proportional to 559.81, 837.91 and 299.15

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Solution

The fourth proportional to 559.81, 837.91 and 299.15 is: 447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.81 : 837.91 = 299.15 : x
  2. Step 2: Convert to fraction form
    559.81/837.91 = 299.15/x
  3. Step 3: Cross multiply
    559.81x = 837.91 × 299.15
  4. Step 4: Simplify right side
    559.81x = 250,664.82
  5. Step 5: Solve for x
    x = 250,664.82/559.81
  6. Step 6: Final answer
    x = 447.77

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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.