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Finding the Fourth Proportional to 429.63, 641.56 and 360.57

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Solution

The fourth proportional to 429.63, 641.56 and 360.57 is: 538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.63 : 641.56 = 360.57 : x
  2. Step 2: Convert to fraction form
    429.63/641.56 = 360.57/x
  3. Step 3: Cross multiply
    429.63x = 641.56 × 360.57
  4. Step 4: Simplify right side
    429.63x = 231,327.29
  5. Step 5: Solve for x
    x = 231,327.29/429.63
  6. Step 6: Final answer
    x = 538.43

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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.