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Finding the Fourth Proportional to 292.80, 439.74 and 241.68

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Solution

The fourth proportional to 292.80, 439.74 and 241.68 is: 362.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.80 : 439.74 = 241.68 : x
  2. Step 2: Convert to fraction form
    292.80/439.74 = 241.68/x
  3. Step 3: Cross multiply
    292.80x = 439.74 × 241.68
  4. Step 4: Simplify right side
    292.80x = 106,276.36
  5. Step 5: Solve for x
    x = 106,276.36/292.80
  6. Step 6: Final answer
    x = 362.97

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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.