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Finding the Fourth Proportional to 669.22, 923.51 and 370.48

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Solution

The fourth proportional to 669.22, 923.51 and 370.48 is: 511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.22 : 923.51 = 370.48 : x
  2. Step 2: Convert to fraction form
    669.22/923.51 = 370.48/x
  3. Step 3: Cross multiply
    669.22x = 923.51 × 370.48
  4. Step 4: Simplify right side
    669.22x = 342,140.25
  5. Step 5: Solve for x
    x = 342,140.25/669.22
  6. Step 6: Final answer
    x = 511.25

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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.