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Finding the Fourth Proportional to 656.28, 984.48 and 223.32

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Solution

The fourth proportional to 656.28, 984.48 and 223.32 is: 335.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.28 : 984.48 = 223.32 : x
  2. Step 2: Convert to fraction form
    656.28/984.48 = 223.32/x
  3. Step 3: Cross multiply
    656.28x = 984.48 × 223.32
  4. Step 4: Simplify right side
    656.28x = 219,854.07
  5. Step 5: Solve for x
    x = 219,854.07/656.28
  6. Step 6: Final answer
    x = 335.00

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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.