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Finding the Fourth Proportional to 614.53, 847.94 and 365.81

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Solution

The fourth proportional to 614.53, 847.94 and 365.81 is: 504.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.53 : 847.94 = 365.81 : x
  2. Step 2: Convert to fraction form
    614.53/847.94 = 365.81/x
  3. Step 3: Cross multiply
    614.53x = 847.94 × 365.81
  4. Step 4: Simplify right side
    614.53x = 310,181.61
  5. Step 5: Solve for x
    x = 310,181.61/614.53
  6. Step 6: Final answer
    x = 504.75

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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.