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Finding the Fourth Proportional to 862.36, 1,293.54 and 277.77

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Solution

The fourth proportional to 862.36, 1,293.54 and 277.77 is: 416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.36 : 1,293.54 = 277.77 : x
  2. Step 2: Convert to fraction form
    862.36/1,293.54 = 277.77/x
  3. Step 3: Cross multiply
    862.36x = 1,293.54 × 277.77
  4. Step 4: Simplify right side
    862.36x = 359,310.41
  5. Step 5: Solve for x
    x = 359,310.41/862.36
  6. Step 6: Final answer
    x = 416.66

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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.