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Finding the Fourth Proportional to 429.24, 644.13 and 264.94

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Solution

The fourth proportional to 429.24, 644.13 and 264.94 is: 397.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.24 : 644.13 = 264.94 : x
  2. Step 2: Convert to fraction form
    429.24/644.13 = 264.94/x
  3. Step 3: Cross multiply
    429.24x = 644.13 × 264.94
  4. Step 4: Simplify right side
    429.24x = 170,654.19
  5. Step 5: Solve for x
    x = 170,654.19/429.24
  6. Step 6: Final answer
    x = 397.57

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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.