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Finding the Fourth Proportional to 260.06, 389.67 and 217.01

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Solution

The fourth proportional to 260.06, 389.67 and 217.01 is: 325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.06 : 389.67 = 217.01 : x
  2. Step 2: Convert to fraction form
    260.06/389.67 = 217.01/x
  3. Step 3: Cross multiply
    260.06x = 389.67 × 217.01
  4. Step 4: Simplify right side
    260.06x = 84,562.29
  5. Step 5: Solve for x
    x = 84,562.29/260.06
  6. Step 6: Final answer
    x = 325.16

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Why These Related Problems?

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