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Finding the Fourth Proportional to 661.66, 913.09 and 399.82

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Solution

The fourth proportional to 661.66, 913.09 and 399.82 is: 551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.66 : 913.09 = 399.82 : x
  2. Step 2: Convert to fraction form
    661.66/913.09 = 399.82/x
  3. Step 3: Cross multiply
    661.66x = 913.09 × 399.82
  4. Step 4: Simplify right side
    661.66x = 365,071.64
  5. Step 5: Solve for x
    x = 365,071.64/661.66
  6. Step 6: Final answer
    x = 551.75

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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.