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Finding the Fourth Proportional to 490.64, 672.14 and 472.14

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Solution

The fourth proportional to 490.64, 672.14 and 472.14 is: 646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.64 : 672.14 = 472.14 : x
  2. Step 2: Convert to fraction form
    490.64/672.14 = 472.14/x
  3. Step 3: Cross multiply
    490.64x = 672.14 × 472.14
  4. Step 4: Simplify right side
    490.64x = 317,344.18
  5. Step 5: Solve for x
    x = 317,344.18/490.64
  6. Step 6: Final answer
    x = 646.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.