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Finding the Fourth Proportional to 400.48, 599.88 and 238.24

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Solution

The fourth proportional to 400.48, 599.88 and 238.24 is: 356.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.48 : 599.88 = 238.24 : x
  2. Step 2: Convert to fraction form
    400.48/599.88 = 238.24/x
  3. Step 3: Cross multiply
    400.48x = 599.88 × 238.24
  4. Step 4: Simplify right side
    400.48x = 142,915.41
  5. Step 5: Solve for x
    x = 142,915.41/400.48
  6. Step 6: Final answer
    x = 356.86

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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.