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Finding the Fourth Proportional to 416.44, 575.40 and 329.77

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Solution

The fourth proportional to 416.44, 575.40 and 329.77 is: 455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.44 : 575.40 = 329.77 : x
  2. Step 2: Convert to fraction form
    416.44/575.40 = 329.77/x
  3. Step 3: Cross multiply
    416.44x = 575.40 × 329.77
  4. Step 4: Simplify right side
    416.44x = 189,749.66
  5. Step 5: Solve for x
    x = 189,749.66/416.44
  6. Step 6: Final answer
    x = 455.65

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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.