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Finding the Fourth Proportional to 399.16, 550.46 and 259.13

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Solution

The fourth proportional to 399.16, 550.46 and 259.13 is: 357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.16 : 550.46 = 259.13 : x
  2. Step 2: Convert to fraction form
    399.16/550.46 = 259.13/x
  3. Step 3: Cross multiply
    399.16x = 550.46 × 259.13
  4. Step 4: Simplify right side
    399.16x = 142,637.95
  5. Step 5: Solve for x
    x = 142,637.95/399.16
  6. Step 6: Final answer
    x = 357.35

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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.