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Finding the Fourth Proportional to 744.25, 1,116.57 and 231.25

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Solution

The fourth proportional to 744.25, 1,116.57 and 231.25 is: 346.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.25 : 1,116.57 = 231.25 : x
  2. Step 2: Convert to fraction form
    744.25/1,116.57 = 231.25/x
  3. Step 3: Cross multiply
    744.25x = 1,116.57 × 231.25
  4. Step 4: Simplify right side
    744.25x = 258,206.81
  5. Step 5: Solve for x
    x = 258,206.81/744.25
  6. Step 6: Final answer
    x = 346.94

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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.