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Finding the Fourth Proportional to 656.64, 984.28 and 223.44

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Solution

The fourth proportional to 656.64, 984.28 and 223.44 is: 334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.64 : 984.28 = 223.44 : x
  2. Step 2: Convert to fraction form
    656.64/984.28 = 223.44/x
  3. Step 3: Cross multiply
    656.64x = 984.28 × 223.44
  4. Step 4: Simplify right side
    656.64x = 219,927.52
  5. Step 5: Solve for x
    x = 219,927.52/656.64
  6. Step 6: Final answer
    x = 334.93

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1.5x scale

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.