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Finding the Fourth Proportional to 429.40, 644.70 and 338.20

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Solution

The fourth proportional to 429.40, 644.70 and 338.20 is: 507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.40 : 644.70 = 338.20 : x
  2. Step 2: Convert to fraction form
    429.40/644.70 = 338.20/x
  3. Step 3: Cross multiply
    429.40x = 644.70 × 338.20
  4. Step 4: Simplify right side
    429.40x = 218,037.54
  5. Step 5: Solve for x
    x = 218,037.54/429.40
  6. Step 6: Final answer
    x = 507.77

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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.