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Finding the Fourth Proportional to 555.94, 832.15 and 311.73

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Solution

The fourth proportional to 555.94, 832.15 and 311.73 is: 466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.94 : 832.15 = 311.73 : x
  2. Step 2: Convert to fraction form
    555.94/832.15 = 311.73/x
  3. Step 3: Cross multiply
    555.94x = 832.15 × 311.73
  4. Step 4: Simplify right side
    555.94x = 259,406.12
  5. Step 5: Solve for x
    x = 259,406.12/555.94
  6. Step 6: Final answer
    x = 466.61

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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.