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Finding the Fourth Proportional to 654.44, 980.33 and 365.27

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Solution

The fourth proportional to 654.44, 980.33 and 365.27 is: 547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.44 : 980.33 = 365.27 : x
  2. Step 2: Convert to fraction form
    654.44/980.33 = 365.27/x
  3. Step 3: Cross multiply
    654.44x = 980.33 × 365.27
  4. Step 4: Simplify right side
    654.44x = 358,078.41
  5. Step 5: Solve for x
    x = 358,078.41/654.44
  6. Step 6: Final answer
    x = 547.16

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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.