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Finding the Fourth Proportional to 399.52, 551.03 and 259.68

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Solution

The fourth proportional to 399.52, 551.03 and 259.68 is: 358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.52 : 551.03 = 259.68 : x
  2. Step 2: Convert to fraction form
    399.52/551.03 = 259.68/x
  3. Step 3: Cross multiply
    399.52x = 551.03 × 259.68
  4. Step 4: Simplify right side
    399.52x = 143,092.73
  5. Step 5: Solve for x
    x = 143,092.73/399.52
  6. Step 6: Final answer
    x = 358.16

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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.