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Finding the Fourth Proportional to 477.63, 659.12 and 267.84

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Solution

The fourth proportional to 477.63, 659.12 and 267.84 is: 369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.63 : 659.12 = 267.84 : x
  2. Step 2: Convert to fraction form
    477.63/659.12 = 267.84/x
  3. Step 3: Cross multiply
    477.63x = 659.12 × 267.84
  4. Step 4: Simplify right side
    477.63x = 176,537.36
  5. Step 5: Solve for x
    x = 176,537.36/477.63
  6. Step 6: Final answer
    x = 369.61

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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.