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Finding the Fourth Proportional to 437.34, 654.64 and 327.00

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Solution

The fourth proportional to 437.34, 654.64 and 327.00 is: 489.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.34 : 654.64 = 327.00 : x
  2. Step 2: Convert to fraction form
    437.34/654.64 = 327.00/x
  3. Step 3: Cross multiply
    437.34x = 654.64 × 327.00
  4. Step 4: Simplify right side
    437.34x = 214,067.07
  5. Step 5: Solve for x
    x = 214,067.07/437.34
  6. Step 6: Final answer
    x = 489.48

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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.