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Finding the Fourth Proportional to 668.86, 923.10 and 406.87

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Solution

The fourth proportional to 668.86, 923.10 and 406.87 is: 561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.86 : 923.10 = 406.87 : x
  2. Step 2: Convert to fraction form
    668.86/923.10 = 406.87/x
  3. Step 3: Cross multiply
    668.86x = 923.10 × 406.87
  4. Step 4: Simplify right side
    668.86x = 375,581.70
  5. Step 5: Solve for x
    x = 375,581.70/668.86
  6. Step 6: Final answer
    x = 561.53

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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.