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Finding the Fourth Proportional to 416.19, 622.94 and 292.17

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Solution

The fourth proportional to 416.19, 622.94 and 292.17 is: 437.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.19 : 622.94 = 292.17 : x
  2. Step 2: Convert to fraction form
    416.19/622.94 = 292.17/x
  3. Step 3: Cross multiply
    416.19x = 622.94 × 292.17
  4. Step 4: Simplify right side
    416.19x = 182,002.92
  5. Step 5: Solve for x
    x = 182,002.92/416.19
  6. Step 6: Final answer
    x = 437.31

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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.