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Finding the Fourth Proportional to 675.14, 1,010.60 and 366.22

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Solution

The fourth proportional to 675.14, 1,010.60 and 366.22 is: 548.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.14 : 1,010.60 = 366.22 : x
  2. Step 2: Convert to fraction form
    675.14/1,010.60 = 366.22/x
  3. Step 3: Cross multiply
    675.14x = 1,010.60 × 366.22
  4. Step 4: Simplify right side
    675.14x = 370,101.93
  5. Step 5: Solve for x
    x = 370,101.93/675.14
  6. Step 6: Final answer
    x = 548.19

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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.