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Finding the Fourth Proportional to 429.20, 643.80 and 411.20

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Solution

The fourth proportional to 429.20, 643.80 and 411.20 is: 616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.20 : 643.80 = 411.20 : x
  2. Step 2: Convert to fraction form
    429.20/643.80 = 411.20/x
  3. Step 3: Cross multiply
    429.20x = 643.80 × 411.20
  4. Step 4: Simplify right side
    429.20x = 264,730.56
  5. Step 5: Solve for x
    x = 264,730.56/429.20
  6. Step 6: Final answer
    x = 616.80

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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.