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Finding the Fourth Proportional to 387.08, 580.54 and 382.28

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Solution

The fourth proportional to 387.08, 580.54 and 382.28 is: 573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.08 : 580.54 = 382.28 : x
  2. Step 2: Convert to fraction form
    387.08/580.54 = 382.28/x
  3. Step 3: Cross multiply
    387.08x = 580.54 × 382.28
  4. Step 4: Simplify right side
    387.08x = 221,928.83
  5. Step 5: Solve for x
    x = 221,928.83/387.08
  6. Step 6: Final answer
    x = 573.34

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Why These Related Problems?

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