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Finding the Fourth Proportional to 669.21, 923.43 and 370.42

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Solution

The fourth proportional to 669.21, 923.43 and 370.42 is: 511.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.21 : 923.43 = 370.42 : x
  2. Step 2: Convert to fraction form
    669.21/923.43 = 370.42/x
  3. Step 3: Cross multiply
    669.21x = 923.43 × 370.42
  4. Step 4: Simplify right side
    669.21x = 342,058.05
  5. Step 5: Solve for x
    x = 342,058.05/669.21
  6. Step 6: Final answer
    x = 511.13

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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.