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Finding the Fourth Proportional to 614.21, 847.55 and 365.48

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Solution

The fourth proportional to 614.21, 847.55 and 365.48 is: 504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.21 : 847.55 = 365.48 : x
  2. Step 2: Convert to fraction form
    614.21/847.55 = 365.48/x
  3. Step 3: Cross multiply
    614.21x = 847.55 × 365.48
  4. Step 4: Simplify right side
    614.21x = 309,763.89
  5. Step 5: Solve for x
    x = 309,763.89/614.21
  6. Step 6: Final answer
    x = 504.33

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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.