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Finding the Fourth Proportional to 425.66, 637.94 and 263.45

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Solution

The fourth proportional to 425.66, 637.94 and 263.45 is: 394.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.66 : 637.94 = 263.45 : x
  2. Step 2: Convert to fraction form
    425.66/637.94 = 263.45/x
  3. Step 3: Cross multiply
    425.66x = 637.94 × 263.45
  4. Step 4: Simplify right side
    425.66x = 168,067.55
  5. Step 5: Solve for x
    x = 168,067.55/425.66
  6. Step 6: Final answer
    x = 394.84

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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.