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Finding the Fourth Proportional to 275.09, 412.62 and 231.35

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Solution

The fourth proportional to 275.09, 412.62 and 231.35 is: 347.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.09 : 412.62 = 231.35 : x
  2. Step 2: Convert to fraction form
    275.09/412.62 = 231.35/x
  3. Step 3: Cross multiply
    275.09x = 412.62 × 231.35
  4. Step 4: Simplify right side
    275.09x = 95,459.64
  5. Step 5: Solve for x
    x = 95,459.64/275.09
  6. Step 6: Final answer
    x = 347.01

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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.