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Finding the Fourth Proportional to 467.86, 701.71 and 330.48

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Solution

The fourth proportional to 467.86, 701.71 and 330.48 is: 495.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.86 : 701.71 = 330.48 : x
  2. Step 2: Convert to fraction form
    467.86/701.71 = 330.48/x
  3. Step 3: Cross multiply
    467.86x = 701.71 × 330.48
  4. Step 4: Simplify right side
    467.86x = 231,901.12
  5. Step 5: Solve for x
    x = 231,901.12/467.86
  6. Step 6: Final answer
    x = 495.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.