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Finding the Fourth Proportional to 339.02, 509.21 and 202.33

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Solution

The fourth proportional to 339.02, 509.21 and 202.33 is: 303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.02 : 509.21 = 202.33 : x
  2. Step 2: Convert to fraction form
    339.02/509.21 = 202.33/x
  3. Step 3: Cross multiply
    339.02x = 509.21 × 202.33
  4. Step 4: Simplify right side
    339.02x = 103,028.46
  5. Step 5: Solve for x
    x = 103,028.46/339.02
  6. Step 6: Final answer
    x = 303.90

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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.