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Finding the Fourth Proportional to 503.43, 694.97 and 346.34

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Solution

The fourth proportional to 503.43, 694.97 and 346.34 is: 478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.43 : 694.97 = 346.34 : x
  2. Step 2: Convert to fraction form
    503.43/694.97 = 346.34/x
  3. Step 3: Cross multiply
    503.43x = 694.97 × 346.34
  4. Step 4: Simplify right side
    503.43x = 240,695.91
  5. Step 5: Solve for x
    x = 240,695.91/503.43
  6. Step 6: Final answer
    x = 478.11

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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.