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Finding the Fourth Proportional to 580.76, 800.78 and 394.37

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Solution

The fourth proportional to 580.76, 800.78 and 394.37 is: 543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.76 : 800.78 = 394.37 : x
  2. Step 2: Convert to fraction form
    580.76/800.78 = 394.37/x
  3. Step 3: Cross multiply
    580.76x = 800.78 × 394.37
  4. Step 4: Simplify right side
    580.76x = 315,803.64
  5. Step 5: Solve for x
    x = 315,803.64/580.76
  6. Step 6: Final answer
    x = 543.77

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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.