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Finding the Fourth Proportional to 480.36, 662.67 and 414.75

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Solution

The fourth proportional to 480.36, 662.67 and 414.75 is: 572.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.36 : 662.67 = 414.75 : x
  2. Step 2: Convert to fraction form
    480.36/662.67 = 414.75/x
  3. Step 3: Cross multiply
    480.36x = 662.67 × 414.75
  4. Step 4: Simplify right side
    480.36x = 274,842.38
  5. Step 5: Solve for x
    x = 274,842.38/480.36
  6. Step 6: Final answer
    x = 572.16

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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.