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Finding the Fourth Proportional to 744.47, 1,116.47 and 257.41

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Solution

The fourth proportional to 744.47, 1,116.47 and 257.41 is: 386.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.47 : 1,116.47 = 257.41 : x
  2. Step 2: Convert to fraction form
    744.47/1,116.47 = 257.41/x
  3. Step 3: Cross multiply
    744.47x = 1,116.47 × 257.41
  4. Step 4: Simplify right side
    744.47x = 287,390.54
  5. Step 5: Solve for x
    x = 287,390.54/744.47
  6. Step 6: Final answer
    x = 386.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.