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Finding the Fourth Proportional to 845.42, 1,268.30 and 260.38

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Solution

The fourth proportional to 845.42, 1,268.30 and 260.38 is: 390.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.42 : 1,268.30 = 260.38 : x
  2. Step 2: Convert to fraction form
    845.42/1,268.30 = 260.38/x
  3. Step 3: Cross multiply
    845.42x = 1,268.30 × 260.38
  4. Step 4: Simplify right side
    845.42x = 330,239.95
  5. Step 5: Solve for x
    x = 330,239.95/845.42
  6. Step 6: Final answer
    x = 390.62

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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.