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Finding the Fourth Proportional to 292.94, 401.84 and 286.87

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Solution

The fourth proportional to 292.94, 401.84 and 286.87 is: 393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.94 : 401.84 = 286.87 : x
  2. Step 2: Convert to fraction form
    292.94/401.84 = 286.87/x
  3. Step 3: Cross multiply
    292.94x = 401.84 × 286.87
  4. Step 4: Simplify right side
    292.94x = 115,273.40
  5. Step 5: Solve for x
    x = 115,273.40/292.94
  6. Step 6: Final answer
    x = 393.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.