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Finding the Fourth Proportional to 380.49, 524.44 and 282.68

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Solution

The fourth proportional to 380.49, 524.44 and 282.68 is: 389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.49 : 524.44 = 282.68 : x
  2. Step 2: Convert to fraction form
    380.49/524.44 = 282.68/x
  3. Step 3: Cross multiply
    380.49x = 524.44 × 282.68
  4. Step 4: Simplify right side
    380.49x = 148,248.70
  5. Step 5: Solve for x
    x = 148,248.70/380.49
  6. Step 6: Final answer
    x = 389.63

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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.