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Finding the Fourth Proportional to 689.04, 950.91 and 409.22

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Solution

The fourth proportional to 689.04, 950.91 and 409.22 is: 564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.04 : 950.91 = 409.22 : x
  2. Step 2: Convert to fraction form
    689.04/950.91 = 409.22/x
  3. Step 3: Cross multiply
    689.04x = 950.91 × 409.22
  4. Step 4: Simplify right side
    689.04x = 389,126.64
  5. Step 5: Solve for x
    x = 389,126.64/689.04
  6. Step 6: Final answer
    x = 564.74

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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.