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Finding the Fourth Proportional to 851.40, 1,277.06 and 235.19

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Solution

The fourth proportional to 851.40, 1,277.06 and 235.19 is: 352.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.40 : 1,277.06 = 235.19 : x
  2. Step 2: Convert to fraction form
    851.40/1,277.06 = 235.19/x
  3. Step 3: Cross multiply
    851.40x = 1,277.06 × 235.19
  4. Step 4: Simplify right side
    851.40x = 300,344.18
  5. Step 5: Solve for x
    x = 300,344.18/851.40
  6. Step 6: Final answer
    x = 352.77

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Why These Related Problems?

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