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Finding the Fourth Proportional to 327.60, 493.77 and 312.96

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Solution

The fourth proportional to 327.60, 493.77 and 312.96 is: 471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.60 : 493.77 = 312.96 : x
  2. Step 2: Convert to fraction form
    327.60/493.77 = 312.96/x
  3. Step 3: Cross multiply
    327.60x = 493.77 × 312.96
  4. Step 4: Simplify right side
    327.60x = 154,530.26
  5. Step 5: Solve for x
    x = 154,530.26/327.60
  6. Step 6: Final answer
    x = 471.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.