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Finding the Fourth Proportional to 471.13, 649.25 and 313.58

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Solution

The fourth proportional to 471.13, 649.25 and 313.58 is: 432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.13 : 649.25 = 313.58 : x
  2. Step 2: Convert to fraction form
    471.13/649.25 = 313.58/x
  3. Step 3: Cross multiply
    471.13x = 649.25 × 313.58
  4. Step 4: Simplify right side
    471.13x = 203,593.05
  5. Step 5: Solve for x
    x = 203,593.05/471.13
  6. Step 6: Final answer
    x = 432.14

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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.