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Finding the Fourth Proportional to 656.06, 983.27 and 290.43

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Solution

The fourth proportional to 656.06, 983.27 and 290.43 is: 435.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.06 : 983.27 = 290.43 : x
  2. Step 2: Convert to fraction form
    656.06/983.27 = 290.43/x
  3. Step 3: Cross multiply
    656.06x = 983.27 × 290.43
  4. Step 4: Simplify right side
    656.06x = 285,571.83
  5. Step 5: Solve for x
    x = 285,571.83/656.06
  6. Step 6: Final answer
    x = 435.29

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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.