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Finding the Fourth Proportional to 306.25, 459.49 and 241.92

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Solution

The fourth proportional to 306.25, 459.49 and 241.92 is: 362.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.25 : 459.49 = 241.92 : x
  2. Step 2: Convert to fraction form
    306.25/459.49 = 241.92/x
  3. Step 3: Cross multiply
    306.25x = 459.49 × 241.92
  4. Step 4: Simplify right side
    306.25x = 111,159.67
  5. Step 5: Solve for x
    x = 111,159.67/306.25
  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.