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Finding the Fourth Proportional to 668.74, 922.96 and 406.84

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Solution

The fourth proportional to 668.74, 922.96 and 406.84 is: 561.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.74 : 922.96 = 406.84 : x
  2. Step 2: Convert to fraction form
    668.74/922.96 = 406.84/x
  3. Step 3: Cross multiply
    668.74x = 922.96 × 406.84
  4. Step 4: Simplify right side
    668.74x = 375,497.05
  5. Step 5: Solve for x
    x = 375,497.05/668.74
  6. Step 6: Final answer
    x = 561.50

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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.