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Finding the Fourth Proportional to 355.07, 490.00 and 207.67

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Solution

The fourth proportional to 355.07, 490.00 and 207.67 is: 286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.07 : 490.00 = 207.67 : x
  2. Step 2: Convert to fraction form
    355.07/490.00 = 207.67/x
  3. Step 3: Cross multiply
    355.07x = 490.00 × 207.67
  4. Step 4: Simplify right side
    355.07x = 101,758.49
  5. Step 5: Solve for x
    x = 101,758.49/355.07
  6. Step 6: Final answer
    x = 286.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.