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Finding the Fourth Proportional to 669.22, 923.51 and 389.46

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Solution

The fourth proportional to 669.22, 923.51 and 389.46 is: 537.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.22 : 923.51 = 389.46 : x
  2. Step 2: Convert to fraction form
    669.22/923.51 = 389.46/x
  3. Step 3: Cross multiply
    669.22x = 923.51 × 389.46
  4. Step 4: Simplify right side
    669.22x = 359,672.45
  5. Step 5: Solve for x
    x = 359,672.45/669.22
  6. Step 6: Final answer
    x = 537.45

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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.