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Finding the Fourth Proportional to 416.43, 574.54 and 259.18

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Solution

The fourth proportional to 416.43, 574.54 and 259.18 is: 357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.43 : 574.54 = 259.18 : x
  2. Step 2: Convert to fraction form
    416.43/574.54 = 259.18/x
  3. Step 3: Cross multiply
    416.43x = 574.54 × 259.18
  4. Step 4: Simplify right side
    416.43x = 148,909.28
  5. Step 5: Solve for x
    x = 148,909.28/416.43
  6. Step 6: Final answer
    x = 357.59

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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.