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Finding the Fourth Proportional to 327.50, 491.50 and 289.06

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Solution

The fourth proportional to 327.50, 491.50 and 289.06 is: 433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.50 : 491.50 = 289.06 : x
  2. Step 2: Convert to fraction form
    327.50/491.50 = 289.06/x
  3. Step 3: Cross multiply
    327.50x = 491.50 × 289.06
  4. Step 4: Simplify right side
    327.50x = 142,070.53
  5. Step 5: Solve for x
    x = 142,070.53/327.50
  6. Step 6: Final answer
    x = 433.81

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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.