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Finding the Fourth Proportional to 416.35, 574.83 and 259.20

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Solution

The fourth proportional to 416.35, 574.83 and 259.20 is: 357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.35 : 574.83 = 259.20 : x
  2. Step 2: Convert to fraction form
    416.35/574.83 = 259.20/x
  3. Step 3: Cross multiply
    416.35x = 574.83 × 259.20
  4. Step 4: Simplify right side
    416.35x = 148,993.06
  5. Step 5: Solve for x
    x = 148,993.06/416.35
  6. Step 6: Final answer
    x = 357.86

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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.