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Finding the Fourth Proportional to 471.57, 650.70 and 296.88

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Solution

The fourth proportional to 471.57, 650.70 and 296.88 is: 409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.57 : 650.70 = 296.88 : x
  2. Step 2: Convert to fraction form
    471.57/650.70 = 296.88/x
  3. Step 3: Cross multiply
    471.57x = 650.70 × 296.88
  4. Step 4: Simplify right side
    471.57x = 193,179.82
  5. Step 5: Solve for x
    x = 193,179.82/471.57
  6. Step 6: Final answer
    x = 409.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.