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Finding the Fourth Proportional to 471.16, 649.70 and 296.36

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Solution

The fourth proportional to 471.16, 649.70 and 296.36 is: 408.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.16 : 649.70 = 296.36 : x
  2. Step 2: Convert to fraction form
    471.16/649.70 = 296.36/x
  3. Step 3: Cross multiply
    471.16x = 649.70 × 296.36
  4. Step 4: Simplify right side
    471.16x = 192,545.09
  5. Step 5: Solve for x
    x = 192,545.09/471.16
  6. Step 6: Final answer
    x = 408.66

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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.