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Finding the Fourth Proportional to 319.55, 480.40 and 262.20

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Solution

The fourth proportional to 319.55, 480.40 and 262.20 is: 394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.55 : 480.40 = 262.20 : x
  2. Step 2: Convert to fraction form
    319.55/480.40 = 262.20/x
  3. Step 3: Cross multiply
    319.55x = 480.40 × 262.20
  4. Step 4: Simplify right side
    319.55x = 125,960.22
  5. Step 5: Solve for x
    x = 125,960.22/319.55
  6. Step 6: Final answer
    x = 394.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.