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Finding the Fourth Proportional to 614.14, 921.30 and 306.01

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Solution

The fourth proportional to 614.14, 921.30 and 306.01 is: 459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.14 : 921.30 = 306.01 : x
  2. Step 2: Convert to fraction form
    614.14/921.30 = 306.01/x
  3. Step 3: Cross multiply
    614.14x = 921.30 × 306.01
  4. Step 4: Simplify right side
    614.14x = 281,927.02
  5. Step 5: Solve for x
    x = 281,927.02/614.14
  6. Step 6: Final answer
    x = 459.06

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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.