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Finding the Fourth Proportional to 609, 841.11 and 412.17

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Solution

The fourth proportional to 609, 841.11 and 412.17 is: 569.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    609 : 841.11 = 412.17 : x
  2. Step 2: Convert to fraction form
    609/841.11 = 412.17/x
  3. Step 3: Cross multiply
    609x = 841.11 × 412.17
  4. Step 4: Simplify right side
    609x = 346,680.31
  5. Step 5: Solve for x
    x = 346,680.31/609
  6. Step 6: Final answer
    x = 569.26

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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.