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Finding the Fourth Proportional to 380.40, 524.90 and 240.45

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Solution

The fourth proportional to 380.40, 524.90 and 240.45 is: 331.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.40 : 524.90 = 240.45 : x
  2. Step 2: Convert to fraction form
    380.40/524.90 = 240.45/x
  3. Step 3: Cross multiply
    380.40x = 524.90 × 240.45
  4. Step 4: Simplify right side
    380.40x = 126,211.00
  5. Step 5: Solve for x
    x = 126,211.00/380.40
  6. Step 6: Final answer
    x = 331.78

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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.