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Finding the Fourth Proportional to 390.07, 537.73 and 331.21

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Solution

The fourth proportional to 390.07, 537.73 and 331.21 is: 456.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.07 : 537.73 = 331.21 : x
  2. Step 2: Convert to fraction form
    390.07/537.73 = 331.21/x
  3. Step 3: Cross multiply
    390.07x = 537.73 × 331.21
  4. Step 4: Simplify right side
    390.07x = 178,101.55
  5. Step 5: Solve for x
    x = 178,101.55/390.07
  6. Step 6: Final answer
    x = 456.59

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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.