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Finding the Fourth Proportional to 860.73, 1,290.54 and 305.31

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Solution

The fourth proportional to 860.73, 1,290.54 and 305.31 is: 457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.73 : 1,290.54 = 305.31 : x
  2. Step 2: Convert to fraction form
    860.73/1,290.54 = 305.31/x
  3. Step 3: Cross multiply
    860.73x = 1,290.54 × 305.31
  4. Step 4: Simplify right side
    860.73x = 394,014.77
  5. Step 5: Solve for x
    x = 394,014.77/860.73
  6. Step 6: Final answer
    x = 457.77

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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.