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Finding the Fourth Proportional to 669.08, 923.27 and 403.62

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Solution

The fourth proportional to 669.08, 923.27 and 403.62 is: 556.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.08 : 923.27 = 403.62 : x
  2. Step 2: Convert to fraction form
    669.08/923.27 = 403.62/x
  3. Step 3: Cross multiply
    669.08x = 923.27 × 403.62
  4. Step 4: Simplify right side
    669.08x = 372,648.22
  5. Step 5: Solve for x
    x = 372,648.22/669.08
  6. Step 6: Final answer
    x = 556.96

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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.