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Finding the Fourth Proportional to 286.25, 394.65 and 233.74

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Solution

The fourth proportional to 286.25, 394.65 and 233.74 is: 322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.25 : 394.65 = 233.74 : x
  2. Step 2: Convert to fraction form
    286.25/394.65 = 233.74/x
  3. Step 3: Cross multiply
    286.25x = 394.65 × 233.74
  4. Step 4: Simplify right side
    286.25x = 92,242.35
  5. Step 5: Solve for x
    x = 92,242.35/286.25
  6. Step 6: Final answer
    x = 322.25

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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.