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Finding the Fourth Proportional to 656.12, 984.16 and 223.28

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Solution

The fourth proportional to 656.12, 984.16 and 223.28 is: 334.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.12 : 984.16 = 223.28 : x
  2. Step 2: Convert to fraction form
    656.12/984.16 = 223.28/x
  3. Step 3: Cross multiply
    656.12x = 984.16 × 223.28
  4. Step 4: Simplify right side
    656.12x = 219,737.77
  5. Step 5: Solve for x
    x = 219,737.77/656.12
  6. Step 6: Final answer
    x = 334.91

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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.