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Finding the Fourth Proportional to 387.14, 580.28 and 194.36

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Solution

The fourth proportional to 387.14, 580.28 and 194.36 is: 291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.14 : 580.28 = 194.36 : x
  2. Step 2: Convert to fraction form
    387.14/580.28 = 194.36/x
  3. Step 3: Cross multiply
    387.14x = 580.28 × 194.36
  4. Step 4: Simplify right side
    387.14x = 112,779.35
  5. Step 5: Solve for x
    x = 112,779.35/387.14
  6. Step 6: Final answer
    x = 291.32

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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.