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Finding the Fourth Proportional to 555.31, 832.74 and 208.54

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Solution

The fourth proportional to 555.31, 832.74 and 208.54 is: 312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.31 : 832.74 = 208.54 : x
  2. Step 2: Convert to fraction form
    555.31/832.74 = 208.54/x
  3. Step 3: Cross multiply
    555.31x = 832.74 × 208.54
  4. Step 4: Simplify right side
    555.31x = 173,659.60
  5. Step 5: Solve for x
    x = 173,659.60/555.31
  6. Step 6: Final answer
    x = 312.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.