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Finding the Fourth Proportional to 390.63, 539.37 and 306.89

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Solution

The fourth proportional to 390.63, 539.37 and 306.89 is: 423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.63 : 539.37 = 306.89 : x
  2. Step 2: Convert to fraction form
    390.63/539.37 = 306.89/x
  3. Step 3: Cross multiply
    390.63x = 539.37 × 306.89
  4. Step 4: Simplify right side
    390.63x = 165,524.56
  5. Step 5: Solve for x
    x = 165,524.56/390.63
  6. Step 6: Final answer
    x = 423.74

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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.