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Finding the Fourth Proportional to 797.31, 1,194.75 and 310.10

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Solution

The fourth proportional to 797.31, 1,194.75 and 310.10 is: 464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.31 : 1,194.75 = 310.10 : x
  2. Step 2: Convert to fraction form
    797.31/1,194.75 = 310.10/x
  3. Step 3: Cross multiply
    797.31x = 1,194.75 × 310.10
  4. Step 4: Simplify right side
    797.31x = 370,486.00
  5. Step 5: Solve for x
    x = 370,486.00/797.31
  6. Step 6: Final answer
    x = 464.67

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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.