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Finding the Fourth Proportional to 656.30, 984.35 and 223.40

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Solution

The fourth proportional to 656.30, 984.35 and 223.40 is: 335.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.30 : 984.35 = 223.40 : x
  2. Step 2: Convert to fraction form
    656.30/984.35 = 223.40/x
  3. Step 3: Cross multiply
    656.30x = 984.35 × 223.40
  4. Step 4: Simplify right side
    656.30x = 219,897.75
  5. Step 5: Solve for x
    x = 219,897.75/656.30
  6. Step 6: Final answer
    x = 335.06

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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.