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Finding the Fourth Proportional to 661.91, 913.56 and 382.19

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Solution

The fourth proportional to 661.91, 913.56 and 382.19 is: 527.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.91 : 913.56 = 382.19 : x
  2. Step 2: Convert to fraction form
    661.91/913.56 = 382.19/x
  3. Step 3: Cross multiply
    661.91x = 913.56 × 382.19
  4. Step 4: Simplify right side
    661.91x = 349,149.65
  5. Step 5: Solve for x
    x = 349,149.65/661.91
  6. Step 6: Final answer
    x = 527.49

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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.