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Finding the Fourth Proportional to 416.67, 574.62 and 259.10

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Solution

The fourth proportional to 416.67, 574.62 and 259.10 is: 357.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.67 : 574.62 = 259.10 : x
  2. Step 2: Convert to fraction form
    416.67/574.62 = 259.10/x
  3. Step 3: Cross multiply
    416.67x = 574.62 × 259.10
  4. Step 4: Simplify right side
    416.67x = 148,883.08
  5. Step 5: Solve for x
    x = 148,883.08/416.67
  6. Step 6: Final answer
    x = 357.32

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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.