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Finding the Fourth Proportional to 669.46, 923.61 and 403.96

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Solution

The fourth proportional to 669.46, 923.61 and 403.96 is: 557.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.46 : 923.61 = 403.96 : x
  2. Step 2: Convert to fraction form
    669.46/923.61 = 403.96/x
  3. Step 3: Cross multiply
    669.46x = 923.61 × 403.96
  4. Step 4: Simplify right side
    669.46x = 373,101.50
  5. Step 5: Solve for x
    x = 373,101.50/669.46
  6. Step 6: Final answer
    x = 557.32

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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.