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Finding the Fourth Proportional to 429.28, 643.16 and 246.80

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Solution

The fourth proportional to 429.28, 643.16 and 246.80 is: 369.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.28 : 643.16 = 246.80 : x
  2. Step 2: Convert to fraction form
    429.28/643.16 = 246.80/x
  3. Step 3: Cross multiply
    429.28x = 643.16 × 246.80
  4. Step 4: Simplify right side
    429.28x = 158,731.89
  5. Step 5: Solve for x
    x = 158,731.89/429.28
  6. Step 6: Final answer
    x = 369.76

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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.