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Finding the Fourth Proportional to 669.15, 923.04 and 472.32

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Solution

The fourth proportional to 669.15, 923.04 and 472.32 is: 651.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.15 : 923.04 = 472.32 : x
  2. Step 2: Convert to fraction form
    669.15/923.04 = 472.32/x
  3. Step 3: Cross multiply
    669.15x = 923.04 × 472.32
  4. Step 4: Simplify right side
    669.15x = 435,970.25
  5. Step 5: Solve for x
    x = 435,970.25/669.15
  6. Step 6: Final answer
    x = 651.53

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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.