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Finding the Fourth Proportional to 669.58, 1,004.24 and 207.27

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Solution

The fourth proportional to 669.58, 1,004.24 and 207.27 is: 310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.58 : 1,004.24 = 207.27 : x
  2. Step 2: Convert to fraction form
    669.58/1,004.24 = 207.27/x
  3. Step 3: Cross multiply
    669.58x = 1,004.24 × 207.27
  4. Step 4: Simplify right side
    669.58x = 208,149.34
  5. Step 5: Solve for x
    x = 208,149.34/669.58
  6. Step 6: Final answer
    x = 310.87

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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.