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Finding the Fourth Proportional to 399.12, 551.25 and 294.06

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Solution

The fourth proportional to 399.12, 551.25 and 294.06 is: 406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.12 : 551.25 = 294.06 : x
  2. Step 2: Convert to fraction form
    399.12/551.25 = 294.06/x
  3. Step 3: Cross multiply
    399.12x = 551.25 × 294.06
  4. Step 4: Simplify right side
    399.12x = 162,100.58
  5. Step 5: Solve for x
    x = 162,100.58/399.12
  6. Step 6: Final answer
    x = 406.14

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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.