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Finding the Fourth Proportional to 669.14, 923.13 and 445.34

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Solution

The fourth proportional to 669.14, 923.13 and 445.34 is: 614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.14 : 923.13 = 445.34 : x
  2. Step 2: Convert to fraction form
    669.14/923.13 = 445.34/x
  3. Step 3: Cross multiply
    669.14x = 923.13 × 445.34
  4. Step 4: Simplify right side
    669.14x = 411,106.71
  5. Step 5: Solve for x
    x = 411,106.71/669.14
  6. Step 6: Final answer
    x = 614.38

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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.