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Finding the Fourth Proportional to 466.94, 699.32 and 414.84

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Solution

The fourth proportional to 466.94, 699.32 and 414.84 is: 621.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.94 : 699.32 = 414.84 : x
  2. Step 2: Convert to fraction form
    466.94/699.32 = 414.84/x
  3. Step 3: Cross multiply
    466.94x = 699.32 × 414.84
  4. Step 4: Simplify right side
    466.94x = 290,105.91
  5. Step 5: Solve for x
    x = 290,105.91/466.94
  6. Step 6: Final answer
    x = 621.29

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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.