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Finding the Fourth Proportional to 480.57, 717.25 and 442.09

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Solution

The fourth proportional to 480.57, 717.25 and 442.09 is: 659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.57 : 717.25 = 442.09 : x
  2. Step 2: Convert to fraction form
    480.57/717.25 = 442.09/x
  3. Step 3: Cross multiply
    480.57x = 717.25 × 442.09
  4. Step 4: Simplify right side
    480.57x = 317,090.16
  5. Step 5: Solve for x
    x = 317,090.16/480.57
  6. Step 6: Final answer
    x = 659.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.