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Finding the Fourth Proportional to 380.09, 524.23 and 335.88

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Solution

The fourth proportional to 380.09, 524.23 and 335.88 is: 463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.09 : 524.23 = 335.88 : x
  2. Step 2: Convert to fraction form
    380.09/524.23 = 335.88/x
  3. Step 3: Cross multiply
    380.09x = 524.23 × 335.88
  4. Step 4: Simplify right side
    380.09x = 176,077.53
  5. Step 5: Solve for x
    x = 176,077.53/380.09
  6. Step 6: Final answer
    x = 463.25

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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.