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Finding the Fourth Proportional to 503.64, 694.50 and 335.34

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Solution

The fourth proportional to 503.64, 694.50 and 335.34 is: 462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.64 : 694.50 = 335.34 : x
  2. Step 2: Convert to fraction form
    503.64/694.50 = 335.34/x
  3. Step 3: Cross multiply
    503.64x = 694.50 × 335.34
  4. Step 4: Simplify right side
    503.64x = 232,893.63
  5. Step 5: Solve for x
    x = 232,893.63/503.64
  6. Step 6: Final answer
    x = 462.42

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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.