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Finding the Fourth Proportional to 433.41, 649.31 and 317.90

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Solution

The fourth proportional to 433.41, 649.31 and 317.90 is: 476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.41 : 649.31 = 317.90 : x
  2. Step 2: Convert to fraction form
    433.41/649.31 = 317.90/x
  3. Step 3: Cross multiply
    433.41x = 649.31 × 317.90
  4. Step 4: Simplify right side
    433.41x = 206,410.81
  5. Step 5: Solve for x
    x = 206,410.81/433.41
  6. Step 6: Final answer
    x = 476.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.