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Finding the Fourth Proportional to 467.42, 644.92 and 290.30

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Solution

The fourth proportional to 467.42, 644.92 and 290.30 is: 400.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.42 : 644.92 = 290.30 : x
  2. Step 2: Convert to fraction form
    467.42/644.92 = 290.30/x
  3. Step 3: Cross multiply
    467.42x = 644.92 × 290.30
  4. Step 4: Simplify right side
    467.42x = 187,216.33
  5. Step 5: Solve for x
    x = 187,216.33/467.42
  6. Step 6: Final answer
    x = 400.54

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