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Finding the Fourth Proportional to 614.41, 920.38 and 305.33

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Solution

The fourth proportional to 614.41, 920.38 and 305.33 is: 457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.41 : 920.38 = 305.33 : x
  2. Step 2: Convert to fraction form
    614.41/920.38 = 305.33/x
  3. Step 3: Cross multiply
    614.41x = 920.38 × 305.33
  4. Step 4: Simplify right side
    614.41x = 281,013.50
  5. Step 5: Solve for x
    x = 281,013.50/614.41
  6. Step 6: Final answer
    x = 457.38

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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.