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Finding the Fourth Proportional to 661.77, 913 and 399.69

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Solution

The fourth proportional to 661.77, 913 and 399.69 is: 551.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.77 : 913 = 399.69 : x
  2. Step 2: Convert to fraction form
    661.77/913 = 399.69/x
  3. Step 3: Cross multiply
    661.77x = 913 × 399.69
  4. Step 4: Simplify right side
    661.77x = 364,916.97
  5. Step 5: Solve for x
    x = 364,916.97/661.77
  6. Step 6: Final answer
    x = 551.43

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Why These Related Problems?

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