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Finding the Fourth Proportional to 429.08, 643.16 and 311.66

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Solution

The fourth proportional to 429.08, 643.16 and 311.66 is: 467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.08 : 643.16 = 311.66 : x
  2. Step 2: Convert to fraction form
    429.08/643.16 = 311.66/x
  3. Step 3: Cross multiply
    429.08x = 643.16 × 311.66
  4. Step 4: Simplify right side
    429.08x = 200,449.63
  5. Step 5: Solve for x
    x = 200,449.63/429.08
  6. Step 6: Final answer
    x = 467.17

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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.