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Finding the Fourth Proportional to 654.07, 980.89 and 243.20

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Solution

The fourth proportional to 654.07, 980.89 and 243.20 is: 364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.07 : 980.89 = 243.20 : x
  2. Step 2: Convert to fraction form
    654.07/980.89 = 243.20/x
  3. Step 3: Cross multiply
    654.07x = 980.89 × 243.20
  4. Step 4: Simplify right side
    654.07x = 238,552.45
  5. Step 5: Solve for x
    x = 238,552.45/654.07
  6. Step 6: Final answer
    x = 364.72

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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.