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Finding the Fourth Proportional to 601.81, 830.26 and 365.67

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Solution

The fourth proportional to 601.81, 830.26 and 365.67 is: 504.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.81 : 830.26 = 365.67 : x
  2. Step 2: Convert to fraction form
    601.81/830.26 = 365.67/x
  3. Step 3: Cross multiply
    601.81x = 830.26 × 365.67
  4. Step 4: Simplify right side
    601.81x = 303,602.94
  5. Step 5: Solve for x
    x = 303,602.94/601.81
  6. Step 6: Final answer
    x = 504.48

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