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Finding the Fourth Proportional to 579.74, 869.96 and 214.79

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Solution

The fourth proportional to 579.74, 869.96 and 214.79 is: 322.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.74 : 869.96 = 214.79 : x
  2. Step 2: Convert to fraction form
    579.74/869.96 = 214.79/x
  3. Step 3: Cross multiply
    579.74x = 869.96 × 214.79
  4. Step 4: Simplify right side
    579.74x = 186,853.28
  5. Step 5: Solve for x
    x = 186,853.28/579.74
  6. Step 6: Final answer
    x = 322.31

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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.