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Finding the Fourth Proportional to 669.71, 1,004.17 and 207.36

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Solution

The fourth proportional to 669.71, 1,004.17 and 207.36 is: 310.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.71 : 1,004.17 = 207.36 : x
  2. Step 2: Convert to fraction form
    669.71/1,004.17 = 207.36/x
  3. Step 3: Cross multiply
    669.71x = 1,004.17 × 207.36
  4. Step 4: Simplify right side
    669.71x = 208,224.69
  5. Step 5: Solve for x
    x = 208,224.69/669.71
  6. Step 6: Final answer
    x = 310.92

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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.