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Finding the Fourth Proportional to 845.23, 1,267.89 and 268.15

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Solution

The fourth proportional to 845.23, 1,267.89 and 268.15 is: 402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.23 : 1,267.89 = 268.15 : x
  2. Step 2: Convert to fraction form
    845.23/1,267.89 = 268.15/x
  3. Step 3: Cross multiply
    845.23x = 1,267.89 × 268.15
  4. Step 4: Simplify right side
    845.23x = 339,980.53
  5. Step 5: Solve for x
    x = 339,980.53/845.23
  6. Step 6: Final answer
    x = 402.24

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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.