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Finding the Fourth Proportional to 325.92, 446.51 and 313.59

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Solution

The fourth proportional to 325.92, 446.51 and 313.59 is: 429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.92 : 446.51 = 313.59 : x
  2. Step 2: Convert to fraction form
    325.92/446.51 = 313.59/x
  3. Step 3: Cross multiply
    325.92x = 446.51 × 313.59
  4. Step 4: Simplify right side
    325.92x = 140,019.50
  5. Step 5: Solve for x
    x = 140,019.50/325.92
  6. Step 6: Final answer
    x = 429.61

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.