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Finding the Fourth Proportional to 386.19, 576.02 and 378.90

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Solution

The fourth proportional to 386.19, 576.02 and 378.90 is: 565.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.19 : 576.02 = 378.90 : x
  2. Step 2: Convert to fraction form
    386.19/576.02 = 378.90/x
  3. Step 3: Cross multiply
    386.19x = 576.02 × 378.90
  4. Step 4: Simplify right side
    386.19x = 218,254.93
  5. Step 5: Solve for x
    x = 218,254.93/386.19
  6. Step 6: Final answer
    x = 565.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.