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Finding the Fourth Proportional to 387.35, 584.09 and 380.06

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Solution

The fourth proportional to 387.35, 584.09 and 380.06 is: 573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.35 : 584.09 = 380.06 : x
  2. Step 2: Convert to fraction form
    387.35/584.09 = 380.06/x
  3. Step 3: Cross multiply
    387.35x = 584.09 × 380.06
  4. Step 4: Simplify right side
    387.35x = 221,989.25
  5. Step 5: Solve for x
    x = 221,989.25/387.35
  6. Step 6: Final answer
    x = 573.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.