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Finding the Fourth Proportional to 503.25, 694.41 and 304.09

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Solution

The fourth proportional to 503.25, 694.41 and 304.09 is: 419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.25 : 694.41 = 304.09 : x
  2. Step 2: Convert to fraction form
    503.25/694.41 = 304.09/x
  3. Step 3: Cross multiply
    503.25x = 694.41 × 304.09
  4. Step 4: Simplify right side
    503.25x = 211,160.26
  5. Step 5: Solve for x
    x = 211,160.26/503.25
  6. Step 6: Final answer
    x = 419.60

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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.