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Finding the Fourth Proportional to 486.83, 672.07 and 300.42

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Solution

The fourth proportional to 486.83, 672.07 and 300.42 is: 414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.83 : 672.07 = 300.42 : x
  2. Step 2: Convert to fraction form
    486.83/672.07 = 300.42/x
  3. Step 3: Cross multiply
    486.83x = 672.07 × 300.42
  4. Step 4: Simplify right side
    486.83x = 201,905.32
  5. Step 5: Solve for x
    x = 201,905.32/486.83
  6. Step 6: Final answer
    x = 414.73

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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.