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Finding the Fourth Proportional to 668.81, 923.07 and 406.83

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Solution

The fourth proportional to 668.81, 923.07 and 406.83 is: 561.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.81 : 923.07 = 406.83 : x
  2. Step 2: Convert to fraction form
    668.81/923.07 = 406.83/x
  3. Step 3: Cross multiply
    668.81x = 923.07 × 406.83
  4. Step 4: Simplify right side
    668.81x = 375,532.57
  5. Step 5: Solve for x
    x = 375,532.57/668.81
  6. Step 6: Final answer
    x = 561.49

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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.