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Finding the Fourth Proportional to 658.06, 908.07 and 409.34

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Solution

The fourth proportional to 658.06, 908.07 and 409.34 is: 564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.06 : 908.07 = 409.34 : x
  2. Step 2: Convert to fraction form
    658.06/908.07 = 409.34/x
  3. Step 3: Cross multiply
    658.06x = 908.07 × 409.34
  4. Step 4: Simplify right side
    658.06x = 371,709.37
  5. Step 5: Solve for x
    x = 371,709.37/658.06
  6. Step 6: Final answer
    x = 564.86

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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.