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Finding the Fourth Proportional to 476.96, 658.14 and 267.12

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Solution

The fourth proportional to 476.96, 658.14 and 267.12 is: 368.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.96 : 658.14 = 267.12 : x
  2. Step 2: Convert to fraction form
    476.96/658.14 = 267.12/x
  3. Step 3: Cross multiply
    476.96x = 658.14 × 267.12
  4. Step 4: Simplify right side
    476.96x = 175,802.36
  5. Step 5: Solve for x
    x = 175,802.36/476.96
  6. Step 6: Final answer
    x = 368.59

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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.