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Finding the Fourth Proportional to 579.79, 869.81 and 214.58

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Solution

The fourth proportional to 579.79, 869.81 and 214.58 is: 321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.79 : 869.81 = 214.58 : x
  2. Step 2: Convert to fraction form
    579.79/869.81 = 214.58/x
  3. Step 3: Cross multiply
    579.79x = 869.81 × 214.58
  4. Step 4: Simplify right side
    579.79x = 186,639.48
  5. Step 5: Solve for x
    x = 186,639.48/579.79
  6. Step 6: Final answer
    x = 321.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.