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Finding the Fourth Proportional to 661.72, 913.26 and 399.90

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Solution

The fourth proportional to 661.72, 913.26 and 399.90 is: 551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.72 : 913.26 = 399.90 : x
  2. Step 2: Convert to fraction form
    661.72/913.26 = 399.90/x
  3. Step 3: Cross multiply
    661.72x = 913.26 × 399.90
  4. Step 4: Simplify right side
    661.72x = 365,212.67
  5. Step 5: Solve for x
    x = 365,212.67/661.72
  6. Step 6: Final answer
    x = 551.91

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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.