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Finding the Fourth Proportional to 840.36, 1,259.80 and 327

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Solution

The fourth proportional to 840.36, 1,259.80 and 327 is: 490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.36 : 1,259.80 = 327 : x
  2. Step 2: Convert to fraction form
    840.36/1,259.80 = 327/x
  3. Step 3: Cross multiply
    840.36x = 1,259.80 × 327
  4. Step 4: Simplify right side
    840.36x = 411,954.60
  5. Step 5: Solve for x
    x = 411,954.60/840.36
  6. Step 6: Final answer
    x = 490.21

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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.