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Finding the Fourth Proportional to 433.13, 650.10 and 310.82

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Solution

The fourth proportional to 433.13, 650.10 and 310.82 is: 466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.13 : 650.10 = 310.82 : x
  2. Step 2: Convert to fraction form
    433.13/650.10 = 310.82/x
  3. Step 3: Cross multiply
    433.13x = 650.10 × 310.82
  4. Step 4: Simplify right side
    433.13x = 202,064.08
  5. Step 5: Solve for x
    x = 202,064.08/433.13
  6. Step 6: Final answer
    x = 466.52

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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.