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Finding the Fourth Proportional to 260.74, 389.95 and 232.03

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Solution

The fourth proportional to 260.74, 389.95 and 232.03 is: 347.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.74 : 389.95 = 232.03 : x
  2. Step 2: Convert to fraction form
    260.74/389.95 = 232.03/x
  3. Step 3: Cross multiply
    260.74x = 389.95 × 232.03
  4. Step 4: Simplify right side
    260.74x = 90,480.10
  5. Step 5: Solve for x
    x = 90,480.10/260.74
  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.