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Finding the Fourth Proportional to 503.18, 694.14 and 316.46

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Solution

The fourth proportional to 503.18, 694.14 and 316.46 is: 436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.18 : 694.14 = 316.46 : x
  2. Step 2: Convert to fraction form
    503.18/694.14 = 316.46/x
  3. Step 3: Cross multiply
    503.18x = 694.14 × 316.46
  4. Step 4: Simplify right side
    503.18x = 219,667.54
  5. Step 5: Solve for x
    x = 219,667.54/503.18
  6. Step 6: Final answer
    x = 436.56

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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.