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Finding the Fourth Proportional to 688.89, 950.33 and 409

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Solution

The fourth proportional to 688.89, 950.33 and 409 is: 564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.89 : 950.33 = 409 : x
  2. Step 2: Convert to fraction form
    688.89/950.33 = 409/x
  3. Step 3: Cross multiply
    688.89x = 950.33 × 409
  4. Step 4: Simplify right side
    688.89x = 388,684.97
  5. Step 5: Solve for x
    x = 388,684.97/688.89
  6. Step 6: Final answer
    x = 564.22

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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.