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Finding the Fourth Proportional to 614.02, 847.30 and 365.43

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Solution

The fourth proportional to 614.02, 847.30 and 365.43 is: 504.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.02 : 847.30 = 365.43 : x
  2. Step 2: Convert to fraction form
    614.02/847.30 = 365.43/x
  3. Step 3: Cross multiply
    614.02x = 847.30 × 365.43
  4. Step 4: Simplify right side
    614.02x = 309,627.02
  5. Step 5: Solve for x
    x = 309,627.02/614.02
  6. Step 6: Final answer
    x = 504.26

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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.