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Finding the Fourth Proportional to 429.34, 642.92 and 360.50

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Solution

The fourth proportional to 429.34, 642.92 and 360.50 is: 539.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.34 : 642.92 = 360.50 : x
  2. Step 2: Convert to fraction form
    429.34/642.92 = 360.50/x
  3. Step 3: Cross multiply
    429.34x = 642.92 × 360.50
  4. Step 4: Simplify right side
    429.34x = 231,772.66
  5. Step 5: Solve for x
    x = 231,772.66/429.34
  6. Step 6: Final answer
    x = 539.83

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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.