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Finding the Fourth Proportional to 580.12, 800.42 and 344.08

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Solution

The fourth proportional to 580.12, 800.42 and 344.08 is: 474.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.12 : 800.42 = 344.08 : x
  2. Step 2: Convert to fraction form
    580.12/800.42 = 344.08/x
  3. Step 3: Cross multiply
    580.12x = 800.42 × 344.08
  4. Step 4: Simplify right side
    580.12x = 275,408.51
  5. Step 5: Solve for x
    x = 275,408.51/580.12
  6. Step 6: Final answer
    x = 474.74

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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.