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Finding the Fourth Proportional to 399.93, 551.88 and 225.24

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Solution

The fourth proportional to 399.93, 551.88 and 225.24 is: 310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.93 : 551.88 = 225.24 : x
  2. Step 2: Convert to fraction form
    399.93/551.88 = 225.24/x
  3. Step 3: Cross multiply
    399.93x = 551.88 × 225.24
  4. Step 4: Simplify right side
    399.93x = 124,305.45
  5. Step 5: Solve for x
    x = 124,305.45/399.93
  6. Step 6: Final answer
    x = 310.82

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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.