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Finding the Fourth Proportional to 260.58, 391.29 and 214.83

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Solution

The fourth proportional to 260.58, 391.29 and 214.83 is: 322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.58 : 391.29 = 214.83 : x
  2. Step 2: Convert to fraction form
    260.58/391.29 = 214.83/x
  3. Step 3: Cross multiply
    260.58x = 391.29 × 214.83
  4. Step 4: Simplify right side
    260.58x = 84,060.83
  5. Step 5: Solve for x
    x = 84,060.83/260.58
  6. Step 6: Final answer
    x = 322.59

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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.