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Finding the Fourth Proportional to 480.27, 662.75 and 314.54

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Solution

The fourth proportional to 480.27, 662.75 and 314.54 is: 434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.27 : 662.75 = 314.54 : x
  2. Step 2: Convert to fraction form
    480.27/662.75 = 314.54/x
  3. Step 3: Cross multiply
    480.27x = 662.75 × 314.54
  4. Step 4: Simplify right side
    480.27x = 208,456.50
  5. Step 5: Solve for x
    x = 208,456.50/480.27
  6. Step 6: Final answer
    x = 434.04

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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.