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Finding the Fourth Proportional to 481.90, 669.49 and 477.40

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Solution

The fourth proportional to 481.90, 669.49 and 477.40 is: 663.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.90 : 669.49 = 477.40 : x
  2. Step 2: Convert to fraction form
    481.90/669.49 = 477.40/x
  3. Step 3: Cross multiply
    481.90x = 669.49 × 477.40
  4. Step 4: Simplify right side
    481.90x = 319,614.53
  5. Step 5: Solve for x
    x = 319,614.53/481.90
  6. Step 6: Final answer
    x = 663.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.