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Finding the Fourth Proportional to 614.23, 920.64 and 305.77

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Solution

The fourth proportional to 614.23, 920.64 and 305.77 is: 458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.23 : 920.64 = 305.77 : x
  2. Step 2: Convert to fraction form
    614.23/920.64 = 305.77/x
  3. Step 3: Cross multiply
    614.23x = 920.64 × 305.77
  4. Step 4: Simplify right side
    614.23x = 281,504.09
  5. Step 5: Solve for x
    x = 281,504.09/614.23
  6. Step 6: Final answer
    x = 458.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.