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Finding the Fourth Proportional to 860.00, 1,289.16 and 311.81

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Solution

The fourth proportional to 860.00, 1,289.16 and 311.81 is: 467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.00 : 1,289.16 = 311.81 : x
  2. Step 2: Convert to fraction form
    860.00/1,289.16 = 311.81/x
  3. Step 3: Cross multiply
    860.00x = 1,289.16 × 311.81
  4. Step 4: Simplify right side
    860.00x = 401,966.53
  5. Step 5: Solve for x
    x = 401,966.53/860.00
  6. Step 6: Final answer
    x = 467.41

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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.