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Finding the Fourth Proportional to 260.79, 387.86 and 258.06

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Solution

The fourth proportional to 260.79, 387.86 and 258.06 is: 383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.79 : 387.86 = 258.06 : x
  2. Step 2: Convert to fraction form
    260.79/387.86 = 258.06/x
  3. Step 3: Cross multiply
    260.79x = 387.86 × 258.06
  4. Step 4: Simplify right side
    260.79x = 100,091.15
  5. Step 5: Solve for x
    x = 100,091.15/260.79
  6. Step 6: Final answer
    x = 383.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.