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Finding the Fourth Proportional to 380.15, 524.55 and 232.74

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Solution

The fourth proportional to 380.15, 524.55 and 232.74 is: 321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.15 : 524.55 = 232.74 : x
  2. Step 2: Convert to fraction form
    380.15/524.55 = 232.74/x
  3. Step 3: Cross multiply
    380.15x = 524.55 × 232.74
  4. Step 4: Simplify right side
    380.15x = 122,083.77
  5. Step 5: Solve for x
    x = 122,083.77/380.15
  6. Step 6: Final answer
    x = 321.15

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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.