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Finding the Fourth Proportional to 282.40, 422.84 and 256.80

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Solution

The fourth proportional to 282.40, 422.84 and 256.80 is: 384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.40 : 422.84 = 256.80 : x
  2. Step 2: Convert to fraction form
    282.40/422.84 = 256.80/x
  3. Step 3: Cross multiply
    282.40x = 422.84 × 256.80
  4. Step 4: Simplify right side
    282.40x = 108,585.31
  5. Step 5: Solve for x
    x = 108,585.31/282.40
  6. Step 6: Final answer
    x = 384.51

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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.