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Finding the Fourth Proportional to 416.81, 575.19 and 259.41

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Solution

The fourth proportional to 416.81, 575.19 and 259.41 is: 357.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.81 : 575.19 = 259.41 : x
  2. Step 2: Convert to fraction form
    416.81/575.19 = 259.41/x
  3. Step 3: Cross multiply
    416.81x = 575.19 × 259.41
  4. Step 4: Simplify right side
    416.81x = 149,208.74
  5. Step 5: Solve for x
    x = 149,208.74/416.81
  6. Step 6: Final answer
    x = 357.98

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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.