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Finding the Fourth Proportional to 387.68, 582.48 and 380.96

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Solution

The fourth proportional to 387.68, 582.48 and 380.96 is: 572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.68 : 582.48 = 380.96 : x
  2. Step 2: Convert to fraction form
    387.68/582.48 = 380.96/x
  3. Step 3: Cross multiply
    387.68x = 582.48 × 380.96
  4. Step 4: Simplify right side
    387.68x = 221,901.58
  5. Step 5: Solve for x
    x = 221,901.58/387.68
  6. Step 6: Final answer
    x = 572.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.