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Finding the Fourth Proportional to 429.72, 644.85 and 306.42

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Solution

The fourth proportional to 429.72, 644.85 and 306.42 is: 459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.72 : 644.85 = 306.42 : x
  2. Step 2: Convert to fraction form
    429.72/644.85 = 306.42/x
  3. Step 3: Cross multiply
    429.72x = 644.85 × 306.42
  4. Step 4: Simplify right side
    429.72x = 197,594.94
  5. Step 5: Solve for x
    x = 197,594.94/429.72
  6. Step 6: Final answer
    x = 459.82

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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.