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Finding the Fourth Proportional to 580.26, 800.70 and 344.18

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Solution

The fourth proportional to 580.26, 800.70 and 344.18 is: 474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.26 : 800.70 = 344.18 : x
  2. Step 2: Convert to fraction form
    580.26/800.70 = 344.18/x
  3. Step 3: Cross multiply
    580.26x = 800.70 × 344.18
  4. Step 4: Simplify right side
    580.26x = 275,580.92
  5. Step 5: Solve for x
    x = 275,580.92/580.26
  6. Step 6: Final answer
    x = 474.93

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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.