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Finding the Fourth Proportional to 580.19, 800.34 and 343.91

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Solution

The fourth proportional to 580.19, 800.34 and 343.91 is: 474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.19 : 800.34 = 343.91 : x
  2. Step 2: Convert to fraction form
    580.19/800.34 = 343.91/x
  3. Step 3: Cross multiply
    580.19x = 800.34 × 343.91
  4. Step 4: Simplify right side
    580.19x = 275,244.93
  5. Step 5: Solve for x
    x = 275,244.93/580.19
  6. Step 6: Final answer
    x = 474.40

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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.