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Finding the Fourth Proportional to 503.12, 694.05 and 467.95

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Solution

The fourth proportional to 503.12, 694.05 and 467.95 is: 645.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.12 : 694.05 = 467.95 : x
  2. Step 2: Convert to fraction form
    503.12/694.05 = 467.95/x
  3. Step 3: Cross multiply
    503.12x = 694.05 × 467.95
  4. Step 4: Simplify right side
    503.12x = 324,780.70
  5. Step 5: Solve for x
    x = 324,780.70/503.12
  6. Step 6: Final answer
    x = 645.53

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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.