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Finding the Fourth Proportional to 291.94, 401.96 and 260.75

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Solution

The fourth proportional to 291.94, 401.96 and 260.75 is: 359.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.94 : 401.96 = 260.75 : x
  2. Step 2: Convert to fraction form
    291.94/401.96 = 260.75/x
  3. Step 3: Cross multiply
    291.94x = 401.96 × 260.75
  4. Step 4: Simplify right side
    291.94x = 104,812.73
  5. Step 5: Solve for x
    x = 104,812.73/291.94
  6. Step 6: Final answer
    x = 359.02

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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.