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Finding the Fourth Proportional to 301.90, 416.82 and 246.77

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Solution

The fourth proportional to 301.90, 416.82 and 246.77 is: 340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.90 : 416.82 = 246.77 : x
  2. Step 2: Convert to fraction form
    301.90/416.82 = 246.77/x
  3. Step 3: Cross multiply
    301.90x = 416.82 × 246.77
  4. Step 4: Simplify right side
    301.90x = 102,858.67
  5. Step 5: Solve for x
    x = 102,858.67/301.90
  6. Step 6: Final answer
    x = 340.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.