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Finding the Fourth Proportional to 495.54, 683.10 and 329.40

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Solution

The fourth proportional to 495.54, 683.10 and 329.40 is: 454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.54 : 683.10 = 329.40 : x
  2. Step 2: Convert to fraction form
    495.54/683.10 = 329.40/x
  3. Step 3: Cross multiply
    495.54x = 683.10 × 329.40
  4. Step 4: Simplify right side
    495.54x = 225,013.14
  5. Step 5: Solve for x
    x = 225,013.14/495.54
  6. Step 6: Final answer
    x = 454.08

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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.