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Finding the Fourth Proportional to 656.17, 983.70 and 450.23

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Solution

The fourth proportional to 656.17, 983.70 and 450.23 is: 674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.17 : 983.70 = 450.23 : x
  2. Step 2: Convert to fraction form
    656.17/983.70 = 450.23/x
  3. Step 3: Cross multiply
    656.17x = 983.70 × 450.23
  4. Step 4: Simplify right side
    656.17x = 442,891.25
  5. Step 5: Solve for x
    x = 442,891.25/656.17
  6. Step 6: Final answer
    x = 674.96

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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.