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Finding the Fourth Proportional to 468.44, 701.91 and 313.80

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Solution

The fourth proportional to 468.44, 701.91 and 313.80 is: 470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.44 : 701.91 = 313.80 : x
  2. Step 2: Convert to fraction form
    468.44/701.91 = 313.80/x
  3. Step 3: Cross multiply
    468.44x = 701.91 × 313.80
  4. Step 4: Simplify right side
    468.44x = 220,259.36
  5. Step 5: Solve for x
    x = 220,259.36/468.44
  6. Step 6: Final answer
    x = 470.20

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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.