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Finding the Fourth Proportional to 260.48, 390.30 and 208.85

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Solution

The fourth proportional to 260.48, 390.30 and 208.85 is: 312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.48 : 390.30 = 208.85 : x
  2. Step 2: Convert to fraction form
    260.48/390.30 = 208.85/x
  3. Step 3: Cross multiply
    260.48x = 390.30 × 208.85
  4. Step 4: Simplify right side
    260.48x = 81,512.20
  5. Step 5: Solve for x
    x = 81,512.20/260.48
  6. Step 6: Final answer
    x = 312.94

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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.