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Finding the Fourth Proportional to 282.78, 390.33 and 254.70

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Solution

The fourth proportional to 282.78, 390.33 and 254.70 is: 351.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.78 : 390.33 = 254.70 : x
  2. Step 2: Convert to fraction form
    282.78/390.33 = 254.70/x
  3. Step 3: Cross multiply
    282.78x = 390.33 × 254.70
  4. Step 4: Simplify right side
    282.78x = 99,417.05
  5. Step 5: Solve for x
    x = 99,417.05/282.78
  6. Step 6: Final answer
    x = 351.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.