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Finding the Fourth Proportional to 579.86, 869.84 and 209.59

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Solution

The fourth proportional to 579.86, 869.84 and 209.59 is: 314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.86 : 869.84 = 209.59 : x
  2. Step 2: Convert to fraction form
    579.86/869.84 = 209.59/x
  3. Step 3: Cross multiply
    579.86x = 869.84 × 209.59
  4. Step 4: Simplify right side
    579.86x = 182,307.33
  5. Step 5: Solve for x
    x = 182,307.33/579.86
  6. Step 6: Final answer
    x = 314.40

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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.