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Finding the Fourth Proportional to 579.59, 869.50 and 214.38

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Solution

The fourth proportional to 579.59, 869.50 and 214.38 is: 321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.59 : 869.50 = 214.38 : x
  2. Step 2: Convert to fraction form
    579.59/869.50 = 214.38/x
  3. Step 3: Cross multiply
    579.59x = 869.50 × 214.38
  4. Step 4: Simplify right side
    579.59x = 186,403.41
  5. Step 5: Solve for x
    x = 186,403.41/579.59
  6. Step 6: Final answer
    x = 321.61

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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.