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Finding the Fourth Proportional to 654.56, 980.92 and 362.19

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Solution

The fourth proportional to 654.56, 980.92 and 362.19 is: 542.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.56 : 980.92 = 362.19 : x
  2. Step 2: Convert to fraction form
    654.56/980.92 = 362.19/x
  3. Step 3: Cross multiply
    654.56x = 980.92 × 362.19
  4. Step 4: Simplify right side
    654.56x = 355,281.99
  5. Step 5: Solve for x
    x = 355,281.99/654.56
  6. Step 6: Final answer
    x = 542.78

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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.