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Finding the Fourth Proportional to 580.02, 800.52 and 343.94

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Solution

The fourth proportional to 580.02, 800.52 and 343.94 is: 474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.02 : 800.52 = 343.94 : x
  2. Step 2: Convert to fraction form
    580.02/800.52 = 343.94/x
  3. Step 3: Cross multiply
    580.02x = 800.52 × 343.94
  4. Step 4: Simplify right side
    580.02x = 275,330.85
  5. Step 5: Solve for x
    x = 275,330.85/580.02
  6. Step 6: Final answer
    x = 474.69

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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.