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Finding the Fourth Proportional to 614.41, 847.86 and 365.67

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Solution

The fourth proportional to 614.41, 847.86 and 365.67 is: 504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.41 : 847.86 = 365.67 : x
  2. Step 2: Convert to fraction form
    614.41/847.86 = 365.67/x
  3. Step 3: Cross multiply
    614.41x = 847.86 × 365.67
  4. Step 4: Simplify right side
    614.41x = 310,037.88
  5. Step 5: Solve for x
    x = 310,037.88/614.41
  6. Step 6: Final answer
    x = 504.61

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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.