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Finding the Fourth Proportional to 399.77, 551.48 and 259.88

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Solution

The fourth proportional to 399.77, 551.48 and 259.88 is: 358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.77 : 551.48 = 259.88 : x
  2. Step 2: Convert to fraction form
    399.77/551.48 = 259.88/x
  3. Step 3: Cross multiply
    399.77x = 551.48 × 259.88
  4. Step 4: Simplify right side
    399.77x = 143,314.57
  5. Step 5: Solve for x
    x = 143,314.57/399.77
  6. Step 6: Final answer
    x = 358.50

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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.