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Finding the Fourth Proportional to 387.20, 581.03 and 204.72

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Solution

The fourth proportional to 387.20, 581.03 and 204.72 is: 307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.20 : 581.03 = 204.72 : x
  2. Step 2: Convert to fraction form
    387.20/581.03 = 204.72/x
  3. Step 3: Cross multiply
    387.20x = 581.03 × 204.72
  4. Step 4: Simplify right side
    387.20x = 118,947.44
  5. Step 5: Solve for x
    x = 118,947.44/387.20
  6. Step 6: Final answer
    x = 307.20

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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.