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Finding the Fourth Proportional to 580.48, 800.98 and 344.34

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Solution

The fourth proportional to 580.48, 800.98 and 344.34 is: 475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.48 : 800.98 = 344.34 : x
  2. Step 2: Convert to fraction form
    580.48/800.98 = 344.34/x
  3. Step 3: Cross multiply
    580.48x = 800.98 × 344.34
  4. Step 4: Simplify right side
    580.48x = 275,809.45
  5. Step 5: Solve for x
    x = 275,809.45/580.48
  6. Step 6: Final answer
    x = 475.14

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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.