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Finding the Fourth Proportional to 504.02, 694.98 and 329.06

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Solution

The fourth proportional to 504.02, 694.98 and 329.06 is: 453.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.02 : 694.98 = 329.06 : x
  2. Step 2: Convert to fraction form
    504.02/694.98 = 329.06/x
  3. Step 3: Cross multiply
    504.02x = 694.98 × 329.06
  4. Step 4: Simplify right side
    504.02x = 228,691.86
  5. Step 5: Solve for x
    x = 228,691.86/504.02
  6. Step 6: Final answer
    x = 453.73

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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.