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Finding the Fourth Proportional to 387.53, 580.38 and 305.83

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Solution

The fourth proportional to 387.53, 580.38 and 305.83 is: 458.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.53 : 580.38 = 305.83 : x
  2. Step 2: Convert to fraction form
    387.53/580.38 = 305.83/x
  3. Step 3: Cross multiply
    387.53x = 580.38 × 305.83
  4. Step 4: Simplify right side
    387.53x = 177,494.71
  5. Step 5: Solve for x
    x = 177,494.71/387.53
  6. Step 6: Final answer
    x = 458.02

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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.