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Finding the Fourth Proportional to 500.82, 690.85 and 316.50

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Solution

The fourth proportional to 500.82, 690.85 and 316.50 is: 436.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.82 : 690.85 = 316.50 : x
  2. Step 2: Convert to fraction form
    500.82/690.85 = 316.50/x
  3. Step 3: Cross multiply
    500.82x = 690.85 × 316.50
  4. Step 4: Simplify right side
    500.82x = 218,654.03
  5. Step 5: Solve for x
    x = 218,654.03/500.82
  6. Step 6: Final answer
    x = 436.59

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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.