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Finding the Fourth Proportional to 429.96, 644.88 and 224.30

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Solution

The fourth proportional to 429.96, 644.88 and 224.30 is: 336.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.96 : 644.88 = 224.30 : x
  2. Step 2: Convert to fraction form
    429.96/644.88 = 224.30/x
  3. Step 3: Cross multiply
    429.96x = 644.88 × 224.30
  4. Step 4: Simplify right side
    429.96x = 144,646.58
  5. Step 5: Solve for x
    x = 144,646.58/429.96
  6. Step 6: Final answer
    x = 336.42

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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.