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Finding the Fourth Proportional to 503.12, 694.59 and 338.21

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Solution

The fourth proportional to 503.12, 694.59 and 338.21 is: 466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.12 : 694.59 = 338.21 : x
  2. Step 2: Convert to fraction form
    503.12/694.59 = 338.21/x
  3. Step 3: Cross multiply
    503.12x = 694.59 × 338.21
  4. Step 4: Simplify right side
    503.12x = 234,917.28
  5. Step 5: Solve for x
    x = 234,917.28/503.12
  6. Step 6: Final answer
    x = 466.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.