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Finding the Fourth Proportional to 480.91, 662.80 and 414.35

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Solution

The fourth proportional to 480.91, 662.80 and 414.35 is: 571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.91 : 662.80 = 414.35 : x
  2. Step 2: Convert to fraction form
    480.91/662.80 = 414.35/x
  3. Step 3: Cross multiply
    480.91x = 662.80 × 414.35
  4. Step 4: Simplify right side
    480.91x = 274,631.18
  5. Step 5: Solve for x
    x = 274,631.18/480.91
  6. Step 6: Final answer
    x = 571.07

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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.