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Finding the Fourth Proportional to 688.70, 950.41 and 409.07

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Solution

The fourth proportional to 688.70, 950.41 and 409.07 is: 564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.70 : 950.41 = 409.07 : x
  2. Step 2: Convert to fraction form
    688.70/950.41 = 409.07/x
  3. Step 3: Cross multiply
    688.70x = 950.41 × 409.07
  4. Step 4: Simplify right side
    688.70x = 388,787.11
  5. Step 5: Solve for x
    x = 388,787.11/688.70
  6. Step 6: Final answer
    x = 564.52

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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.