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Finding the Fourth Proportional to 467.25, 644.82 and 292.50

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Solution

The fourth proportional to 467.25, 644.82 and 292.50 is: 403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.25 : 644.82 = 292.50 : x
  2. Step 2: Convert to fraction form
    467.25/644.82 = 292.50/x
  3. Step 3: Cross multiply
    467.25x = 644.82 × 292.50
  4. Step 4: Simplify right side
    467.25x = 188,609.85
  5. Step 5: Solve for x
    x = 188,609.85/467.25
  6. Step 6: Final answer
    x = 403.66

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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.