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Finding the Fourth Proportional to 588.44, 813.06 and 514.64

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Solution

The fourth proportional to 588.44, 813.06 and 514.64 is: 711.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.44 : 813.06 = 514.64 : x
  2. Step 2: Convert to fraction form
    588.44/813.06 = 514.64/x
  3. Step 3: Cross multiply
    588.44x = 813.06 × 514.64
  4. Step 4: Simplify right side
    588.44x = 418,433.20
  5. Step 5: Solve for x
    x = 418,433.20/588.44
  6. Step 6: Final answer
    x = 711.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.