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Finding the Fourth Proportional to 327.60, 491.70 and 259.32

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Solution

The fourth proportional to 327.60, 491.70 and 259.32 is: 389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.60 : 491.70 = 259.32 : x
  2. Step 2: Convert to fraction form
    327.60/491.70 = 259.32/x
  3. Step 3: Cross multiply
    327.60x = 491.70 × 259.32
  4. Step 4: Simplify right side
    327.60x = 127,507.64
  5. Step 5: Solve for x
    x = 127,507.64/327.60
  6. Step 6: Final answer
    x = 389.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.