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Finding the Fourth Proportional to 390.60, 538.83 and 243.27

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Solution

The fourth proportional to 390.60, 538.83 and 243.27 is: 335.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.60 : 538.83 = 243.27 : x
  2. Step 2: Convert to fraction form
    390.60/538.83 = 243.27/x
  3. Step 3: Cross multiply
    390.60x = 538.83 × 243.27
  4. Step 4: Simplify right side
    390.60x = 131,081.17
  5. Step 5: Solve for x
    x = 131,081.17/390.60
  6. Step 6: Final answer
    x = 335.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.