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Finding the Fourth Proportional to 558.83, 837.99 and 298.77

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Solution

The fourth proportional to 558.83, 837.99 and 298.77 is: 448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.83 : 837.99 = 298.77 : x
  2. Step 2: Convert to fraction form
    558.83/837.99 = 298.77/x
  3. Step 3: Cross multiply
    558.83x = 837.99 × 298.77
  4. Step 4: Simplify right side
    558.83x = 250,367.00
  5. Step 5: Solve for x
    x = 250,367.00/558.83
  6. Step 6: Final answer
    x = 448.02

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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.