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Finding the Fourth Proportional to 339.02, 506.34 and 277.46

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Solution

The fourth proportional to 339.02, 506.34 and 277.46 is: 414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.02 : 506.34 = 277.46 : x
  2. Step 2: Convert to fraction form
    339.02/506.34 = 277.46/x
  3. Step 3: Cross multiply
    339.02x = 506.34 × 277.46
  4. Step 4: Simplify right side
    339.02x = 140,486.56
  5. Step 5: Solve for x
    x = 140,486.56/339.02
  6. Step 6: Final answer
    x = 414.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.