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Finding the Fourth Proportional to 669.25, 923.57 and 407.22

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Solution

The fourth proportional to 669.25, 923.57 and 407.22 is: 561.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.25 : 923.57 = 407.22 : x
  2. Step 2: Convert to fraction form
    669.25/923.57 = 407.22/x
  3. Step 3: Cross multiply
    669.25x = 923.57 × 407.22
  4. Step 4: Simplify right side
    669.25x = 376,096.18
  5. Step 5: Solve for x
    x = 376,096.18/669.25
  6. Step 6: Final answer
    x = 561.97

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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.