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Finding the Fourth Proportional to 380.48, 524.92 and 240.64

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Solution

The fourth proportional to 380.48, 524.92 and 240.64 is: 331.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.48 : 524.92 = 240.64 : x
  2. Step 2: Convert to fraction form
    380.48/524.92 = 240.64/x
  3. Step 3: Cross multiply
    380.48x = 524.92 × 240.64
  4. Step 4: Simplify right side
    380.48x = 126,316.75
  5. Step 5: Solve for x
    x = 126,316.75/380.48
  6. Step 6: Final answer
    x = 331.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.