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Finding the Fourth Proportional to 656.34, 983.89 and 223.21

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Solution

The fourth proportional to 656.34, 983.89 and 223.21 is: 334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.34 : 983.89 = 223.21 : x
  2. Step 2: Convert to fraction form
    656.34/983.89 = 223.21/x
  3. Step 3: Cross multiply
    656.34x = 983.89 × 223.21
  4. Step 4: Simplify right side
    656.34x = 219,614.09
  5. Step 5: Solve for x
    x = 219,614.09/656.34
  6. Step 6: Final answer
    x = 334.60

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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.