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Finding the Fourth Proportional to 656.22, 983.34 and 290.34

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Solution

The fourth proportional to 656.22, 983.34 and 290.34 is: 435.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.22 : 983.34 = 290.34 : x
  2. Step 2: Convert to fraction form
    656.22/983.34 = 290.34/x
  3. Step 3: Cross multiply
    656.22x = 983.34 × 290.34
  4. Step 4: Simplify right side
    656.22x = 285,502.94
  5. Step 5: Solve for x
    x = 285,502.94/656.22
  6. Step 6: Final answer
    x = 435.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.