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Finding the Fourth Proportional to 583.61, 875.39 and 198.86

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Solution

The fourth proportional to 583.61, 875.39 and 198.86 is: 298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.61 : 875.39 = 198.86 : x
  2. Step 2: Convert to fraction form
    583.61/875.39 = 198.86/x
  3. Step 3: Cross multiply
    583.61x = 875.39 × 198.86
  4. Step 4: Simplify right side
    583.61x = 174,074.68
  5. Step 5: Solve for x
    x = 174,074.68/583.61
  6. Step 6: Final answer
    x = 298.27

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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.