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Finding the Fourth Proportional to 504.52, 694.24 and 421.36

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Solution

The fourth proportional to 504.52, 694.24 and 421.36 is: 579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.52 : 694.24 = 421.36 : x
  2. Step 2: Convert to fraction form
    504.52/694.24 = 421.36/x
  3. Step 3: Cross multiply
    504.52x = 694.24 × 421.36
  4. Step 4: Simplify right side
    504.52x = 292,524.97
  5. Step 5: Solve for x
    x = 292,524.97/504.52
  6. Step 6: Final answer
    x = 579.81

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