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Finding the Fourth Proportional to 744.21, 1,116.45 and 257.58

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Solution

The fourth proportional to 744.21, 1,116.45 and 257.58 is: 386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.21 : 1,116.45 = 257.58 : x
  2. Step 2: Convert to fraction form
    744.21/1,116.45 = 257.58/x
  3. Step 3: Cross multiply
    744.21x = 1,116.45 × 257.58
  4. Step 4: Simplify right side
    744.21x = 287,575.19
  5. Step 5: Solve for x
    x = 287,575.19/744.21
  6. Step 6: Final answer
    x = 386.42

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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.