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Finding the Fourth Proportional to 492.63, 674.90 and 474.17

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Solution

The fourth proportional to 492.63, 674.90 and 474.17 is: 649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.63 : 674.90 = 474.17 : x
  2. Step 2: Convert to fraction form
    492.63/674.90 = 474.17/x
  3. Step 3: Cross multiply
    492.63x = 674.90 × 474.17
  4. Step 4: Simplify right side
    492.63x = 320,016.83
  5. Step 5: Solve for x
    x = 320,016.83/492.63
  6. Step 6: Final answer
    x = 649.61

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.