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Finding the Fourth Proportional to 416.86, 575.04 and 259.52

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Solution

The fourth proportional to 416.86, 575.04 and 259.52 is: 357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.86 : 575.04 = 259.52 : x
  2. Step 2: Convert to fraction form
    416.86/575.04 = 259.52/x
  3. Step 3: Cross multiply
    416.86x = 575.04 × 259.52
  4. Step 4: Simplify right side
    416.86x = 149,234.25
  5. Step 5: Solve for x
    x = 149,234.25/416.86
  6. Step 6: Final answer
    x = 357.99

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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.