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Finding the Fourth Proportional to 467.88, 644.46 and 369.42

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Solution

The fourth proportional to 467.88, 644.46 and 369.42 is: 508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.88 : 644.46 = 369.42 : x
  2. Step 2: Convert to fraction form
    467.88/644.46 = 369.42/x
  3. Step 3: Cross multiply
    467.88x = 644.46 × 369.42
  4. Step 4: Simplify right side
    467.88x = 238,076.41
  5. Step 5: Solve for x
    x = 238,076.41/467.88
  6. Step 6: Final answer
    x = 508.84

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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.