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Finding the Fourth Proportional to 494.02, 681.78 and 338.50

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Solution

The fourth proportional to 494.02, 681.78 and 338.50 is: 467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.02 : 681.78 = 338.50 : x
  2. Step 2: Convert to fraction form
    494.02/681.78 = 338.50/x
  3. Step 3: Cross multiply
    494.02x = 681.78 × 338.50
  4. Step 4: Simplify right side
    494.02x = 230,782.53
  5. Step 5: Solve for x
    x = 230,782.53/494.02
  6. Step 6: Final answer
    x = 467.15

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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.