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Finding the Fourth Proportional to 471.53, 649.71 and 313.98

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Solution

The fourth proportional to 471.53, 649.71 and 313.98 is: 432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.53 : 649.71 = 313.98 : x
  2. Step 2: Convert to fraction form
    471.53/649.71 = 313.98/x
  3. Step 3: Cross multiply
    471.53x = 649.71 × 313.98
  4. Step 4: Simplify right side
    471.53x = 203,995.95
  5. Step 5: Solve for x
    x = 203,995.95/471.53
  6. Step 6: Final answer
    x = 432.63

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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.