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Finding the Fourth Proportional to 433.96, 649.40 and 318.12

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Solution

The fourth proportional to 433.96, 649.40 and 318.12 is: 476.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.96 : 649.40 = 318.12 : x
  2. Step 2: Convert to fraction form
    433.96/649.40 = 318.12/x
  3. Step 3: Cross multiply
    433.96x = 649.40 × 318.12
  4. Step 4: Simplify right side
    433.96x = 206,587.13
  5. Step 5: Solve for x
    x = 206,587.13/433.96
  6. Step 6: Final answer
    x = 476.05

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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.