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Finding the Fourth Proportional to 859.37, 1,288.59 and 311.40

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Solution

The fourth proportional to 859.37, 1,288.59 and 311.40 is: 466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.37 : 1,288.59 = 311.40 : x
  2. Step 2: Convert to fraction form
    859.37/1,288.59 = 311.40/x
  3. Step 3: Cross multiply
    859.37x = 1,288.59 × 311.40
  4. Step 4: Simplify right side
    859.37x = 401,266.93
  5. Step 5: Solve for x
    x = 401,266.93/859.37
  6. Step 6: Final answer
    x = 466.93

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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.