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Finding the Fourth Proportional to 588.64, 882.84 and 223.42

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Solution

The fourth proportional to 588.64, 882.84 and 223.42 is: 335.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.64 : 882.84 = 223.42 : x
  2. Step 2: Convert to fraction form
    588.64/882.84 = 223.42/x
  3. Step 3: Cross multiply
    588.64x = 882.84 × 223.42
  4. Step 4: Simplify right side
    588.64x = 197,244.11
  5. Step 5: Solve for x
    x = 197,244.11/588.64
  6. Step 6: Final answer
    x = 335.08

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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.