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Finding the Fourth Proportional to 476.14, 657.22 and 329.14

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Solution

The fourth proportional to 476.14, 657.22 and 329.14 is: 454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.14 : 657.22 = 329.14 : x
  2. Step 2: Convert to fraction form
    476.14/657.22 = 329.14/x
  3. Step 3: Cross multiply
    476.14x = 657.22 × 329.14
  4. Step 4: Simplify right side
    476.14x = 216,317.39
  5. Step 5: Solve for x
    x = 216,317.39/476.14
  6. Step 6: Final answer
    x = 454.31

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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.