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Finding the Fourth Proportional to 623.38, 933.17 and 416.29

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Solution

The fourth proportional to 623.38, 933.17 and 416.29 is: 623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.38 : 933.17 = 416.29 : x
  2. Step 2: Convert to fraction form
    623.38/933.17 = 416.29/x
  3. Step 3: Cross multiply
    623.38x = 933.17 × 416.29
  4. Step 4: Simplify right side
    623.38x = 388,469.34
  5. Step 5: Solve for x
    x = 388,469.34/623.38
  6. Step 6: Final answer
    x = 623.17

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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.