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Finding the Fourth Proportional to 355.64, 490.86 and 257.22

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Solution

The fourth proportional to 355.64, 490.86 and 257.22 is: 355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.64 : 490.86 = 257.22 : x
  2. Step 2: Convert to fraction form
    355.64/490.86 = 257.22/x
  3. Step 3: Cross multiply
    355.64x = 490.86 × 257.22
  4. Step 4: Simplify right side
    355.64x = 126,259.01
  5. Step 5: Solve for x
    x = 126,259.01/355.64
  6. Step 6: Final answer
    x = 355.02

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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.