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Finding the Fourth Proportional to 580.05, 869.04 and 306.33

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Solution

The fourth proportional to 580.05, 869.04 and 306.33 is: 458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.05 : 869.04 = 306.33 : x
  2. Step 2: Convert to fraction form
    580.05/869.04 = 306.33/x
  3. Step 3: Cross multiply
    580.05x = 869.04 × 306.33
  4. Step 4: Simplify right side
    580.05x = 266,213.02
  5. Step 5: Solve for x
    x = 266,213.02/580.05
  6. Step 6: Final answer
    x = 458.95

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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.