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Finding the Fourth Proportional to 851.88, 1,277.59 and 235.63

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Solution

The fourth proportional to 851.88, 1,277.59 and 235.63 is: 353.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.88 : 1,277.59 = 235.63 : x
  2. Step 2: Convert to fraction form
    851.88/1,277.59 = 235.63/x
  3. Step 3: Cross multiply
    851.88x = 1,277.59 × 235.63
  4. Step 4: Simplify right side
    851.88x = 301,032.79
  5. Step 5: Solve for x
    x = 301,032.79/851.88
  6. Step 6: Final answer
    x = 353.37

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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.