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Finding the Fourth Proportional to 355.38, 490.74 and 296.34

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Solution

The fourth proportional to 355.38, 490.74 and 296.34 is: 409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.38 : 490.74 = 296.34 : x
  2. Step 2: Convert to fraction form
    355.38/490.74 = 296.34/x
  3. Step 3: Cross multiply
    355.38x = 490.74 × 296.34
  4. Step 4: Simplify right side
    355.38x = 145,425.89
  5. Step 5: Solve for x
    x = 145,425.89/355.38
  6. Step 6: Final answer
    x = 409.21

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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.