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Finding the Fourth Proportional to 429.52, 641.16 and 369.04

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Solution

The fourth proportional to 429.52, 641.16 and 369.04 is: 550.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.52 : 641.16 = 369.04 : x
  2. Step 2: Convert to fraction form
    429.52/641.16 = 369.04/x
  3. Step 3: Cross multiply
    429.52x = 641.16 × 369.04
  4. Step 4: Simplify right side
    429.52x = 236,613.69
  5. Step 5: Solve for x
    x = 236,613.69/429.52
  6. Step 6: Final answer
    x = 550.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.