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Finding the Fourth Proportional to 655.57, 983.51 and 290.46

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Solution

The fourth proportional to 655.57, 983.51 and 290.46 is: 435.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.57 : 983.51 = 290.46 : x
  2. Step 2: Convert to fraction form
    655.57/983.51 = 290.46/x
  3. Step 3: Cross multiply
    655.57x = 983.51 × 290.46
  4. Step 4: Simplify right side
    655.57x = 285,668.86
  5. Step 5: Solve for x
    x = 285,668.86/655.57
  6. Step 6: Final answer
    x = 435.76

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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.