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Finding the Fourth Proportional to 387.19, 579.81 and 265.09

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Solution

The fourth proportional to 387.19, 579.81 and 265.09 is: 396.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.19 : 579.81 = 265.09 : x
  2. Step 2: Convert to fraction form
    387.19/579.81 = 265.09/x
  3. Step 3: Cross multiply
    387.19x = 579.81 × 265.09
  4. Step 4: Simplify right side
    387.19x = 153,701.83
  5. Step 5: Solve for x
    x = 153,701.83/387.19
  6. Step 6: Final answer
    x = 396.97

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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.