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Finding the Fourth Proportional to 614.37, 847.73 and 352.38

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Solution

The fourth proportional to 614.37, 847.73 and 352.38 is: 486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.37 : 847.73 = 352.38 : x
  2. Step 2: Convert to fraction form
    614.37/847.73 = 352.38/x
  3. Step 3: Cross multiply
    614.37x = 847.73 × 352.38
  4. Step 4: Simplify right side
    614.37x = 298,721.34
  5. Step 5: Solve for x
    x = 298,721.34/614.37
  6. Step 6: Final answer
    x = 486.22

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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.