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Finding the Fourth Proportional to 580.12, 800.44 and 367.50

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Solution

The fourth proportional to 580.12, 800.44 and 367.50 is: 507.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.12 : 800.44 = 367.50 : x
  2. Step 2: Convert to fraction form
    580.12/800.44 = 367.50/x
  3. Step 3: Cross multiply
    580.12x = 800.44 × 367.50
  4. Step 4: Simplify right side
    580.12x = 294,162.99
  5. Step 5: Solve for x
    x = 294,162.99/580.12
  6. Step 6: Final answer
    x = 507.07

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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.