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Finding the Fourth Proportional to 313.04, 467.38 and 282.80

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Solution

The fourth proportional to 313.04, 467.38 and 282.80 is: 422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.04 : 467.38 = 282.80 : x
  2. Step 2: Convert to fraction form
    313.04/467.38 = 282.80/x
  3. Step 3: Cross multiply
    313.04x = 467.38 × 282.80
  4. Step 4: Simplify right side
    313.04x = 132,175.06
  5. Step 5: Solve for x
    x = 132,175.06/313.04
  6. Step 6: Final answer
    x = 422.23

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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.