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Finding the Fourth Proportional to 486.94, 672.14 and 300.43

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Solution

The fourth proportional to 486.94, 672.14 and 300.43 is: 414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.94 : 672.14 = 300.43 : x
  2. Step 2: Convert to fraction form
    486.94/672.14 = 300.43/x
  3. Step 3: Cross multiply
    486.94x = 672.14 × 300.43
  4. Step 4: Simplify right side
    486.94x = 201,931.02
  5. Step 5: Solve for x
    x = 201,931.02/486.94
  6. Step 6: Final answer
    x = 414.69

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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.