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Finding the Fourth Proportional to 490.53, 677.66 and 386.31

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Solution

The fourth proportional to 490.53, 677.66 and 386.31 is: 533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.53 : 677.66 = 386.31 : x
  2. Step 2: Convert to fraction form
    490.53/677.66 = 386.31/x
  3. Step 3: Cross multiply
    490.53x = 677.66 × 386.31
  4. Step 4: Simplify right side
    490.53x = 261,784.90
  5. Step 5: Solve for x
    x = 261,784.90/490.53
  6. Step 6: Final answer
    x = 533.68

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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.