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Finding the Fourth Proportional to 429.32, 643.17 and 209.54

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Solution

The fourth proportional to 429.32, 643.17 and 209.54 is: 313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.32 : 643.17 = 209.54 : x
  2. Step 2: Convert to fraction form
    429.32/643.17 = 209.54/x
  3. Step 3: Cross multiply
    429.32x = 643.17 × 209.54
  4. Step 4: Simplify right side
    429.32x = 134,769.84
  5. Step 5: Solve for x
    x = 134,769.84/429.32
  6. Step 6: Final answer
    x = 313.91

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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.