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Finding the Fourth Proportional to 609.50, 841.83 and 412.67

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Solution

The fourth proportional to 609.50, 841.83 and 412.67 is: 569.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.50 : 841.83 = 412.67 : x
  2. Step 2: Convert to fraction form
    609.50/841.83 = 412.67/x
  3. Step 3: Cross multiply
    609.50x = 841.83 × 412.67
  4. Step 4: Simplify right side
    609.50x = 347,397.99
  5. Step 5: Solve for x
    x = 347,397.99/609.50
  6. Step 6: Final answer
    x = 569.97

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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.