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Finding the Fourth Proportional to 614.06, 920.41 and 306.14

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Solution

The fourth proportional to 614.06, 920.41 and 306.14 is: 458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.06 : 920.41 = 306.14 : x
  2. Step 2: Convert to fraction form
    614.06/920.41 = 306.14/x
  3. Step 3: Cross multiply
    614.06x = 920.41 × 306.14
  4. Step 4: Simplify right side
    614.06x = 281,774.32
  5. Step 5: Solve for x
    x = 281,774.32/614.06
  6. Step 6: Final answer
    x = 458.87

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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.