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Finding the Fourth Proportional to 503.21, 694.16 and 316.67

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Solution

The fourth proportional to 503.21, 694.16 and 316.67 is: 436.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.21 : 694.16 = 316.67 : x
  2. Step 2: Convert to fraction form
    503.21/694.16 = 316.67/x
  3. Step 3: Cross multiply
    503.21x = 694.16 × 316.67
  4. Step 4: Simplify right side
    503.21x = 219,814.59
  5. Step 5: Solve for x
    x = 219,814.59/503.21
  6. Step 6: Final answer
    x = 436.83

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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.