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Finding the Fourth Proportional to 614.37, 847.83 and 365.71

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Solution

The fourth proportional to 614.37, 847.83 and 365.71 is: 504.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.37 : 847.83 = 365.71 : x
  2. Step 2: Convert to fraction form
    614.37/847.83 = 365.71/x
  3. Step 3: Cross multiply
    614.37x = 847.83 × 365.71
  4. Step 4: Simplify right side
    614.37x = 310,059.91
  5. Step 5: Solve for x
    x = 310,059.91/614.37
  6. Step 6: Final answer
    x = 504.68

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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.