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Finding the Fourth Proportional to 325.98, 446.93 and 320.15

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Solution

The fourth proportional to 325.98, 446.93 and 320.15 is: 438.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.98 : 446.93 = 320.15 : x
  2. Step 2: Convert to fraction form
    325.98/446.93 = 320.15/x
  3. Step 3: Cross multiply
    325.98x = 446.93 × 320.15
  4. Step 4: Simplify right side
    325.98x = 143,084.64
  5. Step 5: Solve for x
    x = 143,084.64/325.98
  6. Step 6: Final answer
    x = 438.94

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Why These Related Problems?

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