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Finding the Fourth Proportional to 654.41, 980.96 and 411.11

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Solution

The fourth proportional to 654.41, 980.96 and 411.11 is: 616.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.41 : 980.96 = 411.11 : x
  2. Step 2: Convert to fraction form
    654.41/980.96 = 411.11/x
  3. Step 3: Cross multiply
    654.41x = 980.96 × 411.11
  4. Step 4: Simplify right side
    654.41x = 403,275.51
  5. Step 5: Solve for x
    x = 403,275.51/654.41
  6. Step 6: Final answer
    x = 616.25

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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.