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Finding the Fourth Proportional to 429.15, 642.20 and 337.22

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Solution

The fourth proportional to 429.15, 642.20 and 337.22 is: 504.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.15 : 642.20 = 337.22 : x
  2. Step 2: Convert to fraction form
    429.15/642.20 = 337.22/x
  3. Step 3: Cross multiply
    429.15x = 642.20 × 337.22
  4. Step 4: Simplify right side
    429.15x = 216,557.79
  5. Step 5: Solve for x
    x = 216,557.79/429.15
  6. Step 6: Final answer
    x = 504.62

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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.