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Finding the Fourth Proportional to 467.03, 644.49 and 292.34

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Solution

The fourth proportional to 467.03, 644.49 and 292.34 is: 403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.03 : 644.49 = 292.34 : x
  2. Step 2: Convert to fraction form
    467.03/644.49 = 292.34/x
  3. Step 3: Cross multiply
    467.03x = 644.49 × 292.34
  4. Step 4: Simplify right side
    467.03x = 188,406.98
  5. Step 5: Solve for x
    x = 188,406.98/467.03
  6. Step 6: Final answer
    x = 403.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.