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Finding the Fourth Proportional to 503.97, 694.49 and 329.01

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Solution

The fourth proportional to 503.97, 694.49 and 329.01 is: 453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.97 : 694.49 = 329.01 : x
  2. Step 2: Convert to fraction form
    503.97/694.49 = 329.01/x
  3. Step 3: Cross multiply
    503.97x = 694.49 × 329.01
  4. Step 4: Simplify right side
    503.97x = 228,492.51
  5. Step 5: Solve for x
    x = 228,492.51/503.97
  6. Step 6: Final answer
    x = 453.39

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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.