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Finding the Fourth Proportional to 282.80, 424.20 and 256.70

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Solution

The fourth proportional to 282.80, 424.20 and 256.70 is: 385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.80 : 424.20 = 256.70 : x
  2. Step 2: Convert to fraction form
    282.80/424.20 = 256.70/x
  3. Step 3: Cross multiply
    282.80x = 424.20 × 256.70
  4. Step 4: Simplify right side
    282.80x = 108,892.14
  5. Step 5: Solve for x
    x = 108,892.14/282.80
  6. Step 6: Final answer
    x = 385.05

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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.