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Finding the Fourth Proportional to 340.77, 508.41 and 338.34

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Solution

The fourth proportional to 340.77, 508.41 and 338.34 is: 504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.77 : 508.41 = 338.34 : x
  2. Step 2: Convert to fraction form
    340.77/508.41 = 338.34/x
  3. Step 3: Cross multiply
    340.77x = 508.41 × 338.34
  4. Step 4: Simplify right side
    340.77x = 172,015.44
  5. Step 5: Solve for x
    x = 172,015.44/340.77
  6. Step 6: Final answer
    x = 504.78

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Why These Related Problems?

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