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Finding the Fourth Proportional to 654.74, 982.34 and 410.97

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Solution

The fourth proportional to 654.74, 982.34 and 410.97 is: 616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.74 : 982.34 = 410.97 : x
  2. Step 2: Convert to fraction form
    654.74/982.34 = 410.97/x
  3. Step 3: Cross multiply
    654.74x = 982.34 × 410.97
  4. Step 4: Simplify right side
    654.74x = 403,710.21
  5. Step 5: Solve for x
    x = 403,710.21/654.74
  6. Step 6: Final answer
    x = 616.60

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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.