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Finding the Fourth Proportional to 667.02, 999.89 and 471.41

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Solution

The fourth proportional to 667.02, 999.89 and 471.41 is: 706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.02 : 999.89 = 471.41 : x
  2. Step 2: Convert to fraction form
    667.02/999.89 = 471.41/x
  3. Step 3: Cross multiply
    667.02x = 999.89 × 471.41
  4. Step 4: Simplify right side
    667.02x = 471,358.14
  5. Step 5: Solve for x
    x = 471,358.14/667.02
  6. Step 6: Final answer
    x = 706.66

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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.