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Finding the Fourth Proportional to 279.60, 419.04 and 215.34

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Solution

The fourth proportional to 279.60, 419.04 and 215.34 is: 322.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.60 : 419.04 = 215.34 : x
  2. Step 2: Convert to fraction form
    279.60/419.04 = 215.34/x
  3. Step 3: Cross multiply
    279.60x = 419.04 × 215.34
  4. Step 4: Simplify right side
    279.60x = 90,236.07
  5. Step 5: Solve for x
    x = 90,236.07/279.60
  6. Step 6: Final answer
    x = 322.73

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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.