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Finding the Fourth Proportional to 341.44, 508.92 and 338.16

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Solution

The fourth proportional to 341.44, 508.92 and 338.16 is: 504.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.44 : 508.92 = 338.16 : x
  2. Step 2: Convert to fraction form
    341.44/508.92 = 338.16/x
  3. Step 3: Cross multiply
    341.44x = 508.92 × 338.16
  4. Step 4: Simplify right side
    341.44x = 172,096.39
  5. Step 5: Solve for x
    x = 172,096.39/341.44
  6. Step 6: Final answer
    x = 504.03

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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.