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Finding the Fourth Proportional to 644.16, 888.60 and 382.08

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Solution

The fourth proportional to 644.16, 888.60 and 382.08 is: 527.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.16 : 888.60 = 382.08 : x
  2. Step 2: Convert to fraction form
    644.16/888.60 = 382.08/x
  3. Step 3: Cross multiply
    644.16x = 888.60 × 382.08
  4. Step 4: Simplify right side
    644.16x = 339,516.29
  5. Step 5: Solve for x
    x = 339,516.29/644.16
  6. Step 6: Final answer
    x = 527.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.