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Finding the Fourth Proportional to 284.83, 425.21 and 254.07

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Solution

The fourth proportional to 284.83, 425.21 and 254.07 is: 379.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.83 : 425.21 = 254.07 : x
  2. Step 2: Convert to fraction form
    284.83/425.21 = 254.07/x
  3. Step 3: Cross multiply
    284.83x = 425.21 × 254.07
  4. Step 4: Simplify right side
    284.83x = 108,031.83
  5. Step 5: Solve for x
    x = 108,031.83/284.83
  6. Step 6: Final answer
    x = 379.29

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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.