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Finding the Fourth Proportional to 425.12, 637.25 and 205.43

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Solution

The fourth proportional to 425.12, 637.25 and 205.43 is: 307.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.12 : 637.25 = 205.43 : x
  2. Step 2: Convert to fraction form
    425.12/637.25 = 205.43/x
  3. Step 3: Cross multiply
    425.12x = 637.25 × 205.43
  4. Step 4: Simplify right side
    425.12x = 130,907.59
  5. Step 5: Solve for x
    x = 130,907.59/425.12
  6. Step 6: Final answer
    x = 307.93

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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.