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Finding the Fourth Proportional to 409.08, 614.00 and 189.82

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Solution

The fourth proportional to 409.08, 614.00 and 189.82 is: 284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.08 : 614.00 = 189.82 : x
  2. Step 2: Convert to fraction form
    409.08/614.00 = 189.82/x
  3. Step 3: Cross multiply
    409.08x = 614.00 × 189.82
  4. Step 4: Simplify right side
    409.08x = 116,549.65
  5. Step 5: Solve for x
    x = 116,549.65/409.08
  6. Step 6: Final answer
    x = 284.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.