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Finding the Fourth Proportional to 399.78, 550.89 and 259.74

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Solution

The fourth proportional to 399.78, 550.89 and 259.74 is: 357.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.78 : 550.89 = 259.74 : x
  2. Step 2: Convert to fraction form
    399.78/550.89 = 259.74/x
  3. Step 3: Cross multiply
    399.78x = 550.89 × 259.74
  4. Step 4: Simplify right side
    399.78x = 143,088.17
  5. Step 5: Solve for x
    x = 143,088.17/399.78
  6. Step 6: Final answer
    x = 357.92

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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.