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Finding the Fourth Proportional to 409.98, 617.87 and 385.66

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Solution

The fourth proportional to 409.98, 617.87 and 385.66 is: 581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.98 : 617.87 = 385.66 : x
  2. Step 2: Convert to fraction form
    409.98/617.87 = 385.66/x
  3. Step 3: Cross multiply
    409.98x = 617.87 × 385.66
  4. Step 4: Simplify right side
    409.98x = 238,285.82
  5. Step 5: Solve for x
    x = 238,285.82/409.98
  6. Step 6: Final answer
    x = 581.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.