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Finding the Fourth Proportional to 387.10, 580.65 and 333.10

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Solution

The fourth proportional to 387.10, 580.65 and 333.10 is: 499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.10 : 580.65 = 333.10 : x
  2. Step 2: Convert to fraction form
    387.10/580.65 = 333.10/x
  3. Step 3: Cross multiply
    387.10x = 580.65 × 333.10
  4. Step 4: Simplify right side
    387.10x = 193,414.52
  5. Step 5: Solve for x
    x = 193,414.52/387.10
  6. Step 6: Final answer
    x = 499.65

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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.