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Finding the Fourth Proportional to 339.64, 509.05 and 243.25

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Solution

The fourth proportional to 339.64, 509.05 and 243.25 is: 364.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.64 : 509.05 = 243.25 : x
  2. Step 2: Convert to fraction form
    339.64/509.05 = 243.25/x
  3. Step 3: Cross multiply
    339.64x = 509.05 × 243.25
  4. Step 4: Simplify right side
    339.64x = 123,826.41
  5. Step 5: Solve for x
    x = 123,826.41/339.64
  6. Step 6: Final answer
    x = 364.58

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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.