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Finding the Fourth Proportional to 327.90, 452.98 and 262.32

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Solution

The fourth proportional to 327.90, 452.98 and 262.32 is: 362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.90 : 452.98 = 262.32 : x
  2. Step 2: Convert to fraction form
    327.90/452.98 = 262.32/x
  3. Step 3: Cross multiply
    327.90x = 452.98 × 262.32
  4. Step 4: Simplify right side
    327.90x = 118,825.71
  5. Step 5: Solve for x
    x = 118,825.71/327.90
  6. Step 6: Final answer
    x = 362.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.