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Finding the Fourth Proportional to 580.10, 800.56 and 343.99

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Solution

The fourth proportional to 580.10, 800.56 and 343.99 is: 474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.10 : 800.56 = 343.99 : x
  2. Step 2: Convert to fraction form
    580.10/800.56 = 343.99/x
  3. Step 3: Cross multiply
    580.10x = 800.56 × 343.99
  4. Step 4: Simplify right side
    580.10x = 275,383.77
  5. Step 5: Solve for x
    x = 275,383.77/580.10
  6. Step 6: Final answer
    x = 474.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.