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Finding the Fourth Proportional to 580.26, 799.14 and 578.50

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Solution

The fourth proportional to 580.26, 799.14 and 578.50 is: 796.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.26 : 799.14 = 578.50 : x
  2. Step 2: Convert to fraction form
    580.26/799.14 = 578.50/x
  3. Step 3: Cross multiply
    580.26x = 799.14 × 578.50
  4. Step 4: Simplify right side
    580.26x = 462,302.49
  5. Step 5: Solve for x
    x = 462,302.49/580.26
  6. Step 6: Final answer
    x = 796.72

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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.