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Finding the Fourth Proportional to 355.32, 490.50 and 306.72

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Solution

The fourth proportional to 355.32, 490.50 and 306.72 is: 423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.32 : 490.50 = 306.72 : x
  2. Step 2: Convert to fraction form
    355.32/490.50 = 306.72/x
  3. Step 3: Cross multiply
    355.32x = 490.50 × 306.72
  4. Step 4: Simplify right side
    355.32x = 150,446.16
  5. Step 5: Solve for x
    x = 150,446.16/355.32
  6. Step 6: Final answer
    x = 423.41

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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.