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Finding the Fourth Proportional to 400.14, 596.97 and 338.58

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Solution

The fourth proportional to 400.14, 596.97 and 338.58 is: 505.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.14 : 596.97 = 338.58 : x
  2. Step 2: Convert to fraction form
    400.14/596.97 = 338.58/x
  3. Step 3: Cross multiply
    400.14x = 596.97 × 338.58
  4. Step 4: Simplify right side
    400.14x = 202,122.10
  5. Step 5: Solve for x
    x = 202,122.10/400.14
  6. Step 6: Final answer
    x = 505.13

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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.