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Finding the Fourth Proportional to 399.69, 552.06 and 294.60

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Solution

The fourth proportional to 399.69, 552.06 and 294.60 is: 406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.69 : 552.06 = 294.60 : x
  2. Step 2: Convert to fraction form
    399.69/552.06 = 294.60/x
  3. Step 3: Cross multiply
    399.69x = 552.06 × 294.60
  4. Step 4: Simplify right side
    399.69x = 162,636.88
  5. Step 5: Solve for x
    x = 162,636.88/399.69
  6. Step 6: Final answer
    x = 406.91

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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.