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Finding the Fourth Proportional to 466.86, 699.75 and 329.16

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Solution

The fourth proportional to 466.86, 699.75 and 329.16 is: 493.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.86 : 699.75 = 329.16 : x
  2. Step 2: Convert to fraction form
    466.86/699.75 = 329.16/x
  3. Step 3: Cross multiply
    466.86x = 699.75 × 329.16
  4. Step 4: Simplify right side
    466.86x = 230,329.71
  5. Step 5: Solve for x
    x = 230,329.71/466.86
  6. Step 6: Final answer
    x = 493.36

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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.