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Finding the Fourth Proportional to 471.70, 650.46 and 296.74

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Solution

The fourth proportional to 471.70, 650.46 and 296.74 is: 409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.70 : 650.46 = 296.74 : x
  2. Step 2: Convert to fraction form
    471.70/650.46 = 296.74/x
  3. Step 3: Cross multiply
    471.70x = 650.46 × 296.74
  4. Step 4: Simplify right side
    471.70x = 193,017.50
  5. Step 5: Solve for x
    x = 193,017.50/471.70
  6. Step 6: Final answer
    x = 409.20

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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.