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Finding the Fourth Proportional to 429.72, 643.91 and 314.03

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Solution

The fourth proportional to 429.72, 643.91 and 314.03 is: 470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.72 : 643.91 = 314.03 : x
  2. Step 2: Convert to fraction form
    429.72/643.91 = 314.03/x
  3. Step 3: Cross multiply
    429.72x = 643.91 × 314.03
  4. Step 4: Simplify right side
    429.72x = 202,202.27
  5. Step 5: Solve for x
    x = 202,202.27/429.72
  6. Step 6: Final answer
    x = 470.54

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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.