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Finding the Fourth Proportional to 609.77, 841.49 and 477.14

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Solution

The fourth proportional to 609.77, 841.49 and 477.14 is: 658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.77 : 841.49 = 477.14 : x
  2. Step 2: Convert to fraction form
    609.77/841.49 = 477.14/x
  3. Step 3: Cross multiply
    609.77x = 841.49 × 477.14
  4. Step 4: Simplify right side
    609.77x = 401,508.54
  5. Step 5: Solve for x
    x = 401,508.54/609.77
  6. Step 6: Final answer
    x = 658.46

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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.