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Finding the Fourth Proportional to 416.44, 574.69 and 259.01

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Solution

The fourth proportional to 416.44, 574.69 and 259.01 is: 357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.44 : 574.69 = 259.01 : x
  2. Step 2: Convert to fraction form
    416.44/574.69 = 259.01/x
  3. Step 3: Cross multiply
    416.44x = 574.69 × 259.01
  4. Step 4: Simplify right side
    416.44x = 148,850.46
  5. Step 5: Solve for x
    x = 148,850.46/416.44
  6. Step 6: Final answer
    x = 357.44

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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.