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Finding the Fourth Proportional to 287.56, 397.08 and 233.02

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Solution

The fourth proportional to 287.56, 397.08 and 233.02 is: 321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.56 : 397.08 = 233.02 : x
  2. Step 2: Convert to fraction form
    287.56/397.08 = 233.02/x
  3. Step 3: Cross multiply
    287.56x = 397.08 × 233.02
  4. Step 4: Simplify right side
    287.56x = 92,527.58
  5. Step 5: Solve for x
    x = 92,527.58/287.56
  6. Step 6: Final answer
    x = 321.77

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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.