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Finding the Fourth Proportional to 655.74, 983.55 and 290.43

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Solution

The fourth proportional to 655.74, 983.55 and 290.43 is: 435.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.74 : 983.55 = 290.43 : x
  2. Step 2: Convert to fraction form
    655.74/983.55 = 290.43/x
  3. Step 3: Cross multiply
    655.74x = 983.55 × 290.43
  4. Step 4: Simplify right side
    655.74x = 285,652.43
  5. Step 5: Solve for x
    x = 285,652.43/655.74
  6. Step 6: Final answer
    x = 435.62

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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.