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Finding the Fourth Proportional to 416.81, 575.05 and 259.35

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Solution

The fourth proportional to 416.81, 575.05 and 259.35 is: 357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.81 : 575.05 = 259.35 : x
  2. Step 2: Convert to fraction form
    416.81/575.05 = 259.35/x
  3. Step 3: Cross multiply
    416.81x = 575.05 × 259.35
  4. Step 4: Simplify right side
    416.81x = 149,135.05
  5. Step 5: Solve for x
    x = 149,135.05/416.81
  6. Step 6: Final answer
    x = 357.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.