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Finding the Fourth Proportional to 656.24, 984.65 and 331.83

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Solution

The fourth proportional to 656.24, 984.65 and 331.83 is: 497.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.24 : 984.65 = 331.83 : x
  2. Step 2: Convert to fraction form
    656.24/984.65 = 331.83/x
  3. Step 3: Cross multiply
    656.24x = 984.65 × 331.83
  4. Step 4: Simplify right side
    656.24x = 326,736.41
  5. Step 5: Solve for x
    x = 326,736.41/656.24
  6. Step 6: Final answer
    x = 497.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.