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Finding the Fourth Proportional to 689.09, 951.02 and 409.39

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Solution

The fourth proportional to 689.09, 951.02 and 409.39 is: 565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.09 : 951.02 = 409.39 : x
  2. Step 2: Convert to fraction form
    689.09/951.02 = 409.39/x
  3. Step 3: Cross multiply
    689.09x = 951.02 × 409.39
  4. Step 4: Simplify right side
    689.09x = 389,333.65
  5. Step 5: Solve for x
    x = 389,333.65/689.09
  6. Step 6: Final answer
    x = 565.00

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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.