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Finding the Fourth Proportional to 438.14, 604.74 and 306.01

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Solution

The fourth proportional to 438.14, 604.74 and 306.01 is: 422.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.14 : 604.74 = 306.01 : x
  2. Step 2: Convert to fraction form
    438.14/604.74 = 306.01/x
  3. Step 3: Cross multiply
    438.14x = 604.74 × 306.01
  4. Step 4: Simplify right side
    438.14x = 185,056.49
  5. Step 5: Solve for x
    x = 185,056.49/438.14
  6. Step 6: Final answer
    x = 422.37

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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.