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Finding the Fourth Proportional to 380.48, 524.40 and 269.84

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Solution

The fourth proportional to 380.48, 524.40 and 269.84 is: 371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.48 : 524.40 = 269.84 : x
  2. Step 2: Convert to fraction form
    380.48/524.40 = 269.84/x
  3. Step 3: Cross multiply
    380.48x = 524.40 × 269.84
  4. Step 4: Simplify right side
    380.48x = 141,504.10
  5. Step 5: Solve for x
    x = 141,504.10/380.48
  6. Step 6: Final answer
    x = 371.91

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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.