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Finding the Fourth Proportional to 287.58, 430.79 and 241.68

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Solution

The fourth proportional to 287.58, 430.79 and 241.68 is: 362.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.58 : 430.79 = 241.68 : x
  2. Step 2: Convert to fraction form
    287.58/430.79 = 241.68/x
  3. Step 3: Cross multiply
    287.58x = 430.79 × 241.68
  4. Step 4: Simplify right side
    287.58x = 104,113.73
  5. Step 5: Solve for x
    x = 104,113.73/287.58
  6. Step 6: Final answer
    x = 362.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.