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Finding the Fourth Proportional to 668.22, 999.87 and 473.42

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Solution

The fourth proportional to 668.22, 999.87 and 473.42 is: 708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.22 : 999.87 = 473.42 : x
  2. Step 2: Convert to fraction form
    668.22/999.87 = 473.42/x
  3. Step 3: Cross multiply
    668.22x = 999.87 × 473.42
  4. Step 4: Simplify right side
    668.22x = 473,353.46
  5. Step 5: Solve for x
    x = 473,353.46/668.22
  6. Step 6: Final answer
    x = 708.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.