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Finding the Fourth Proportional to 494.16, 681.94 and 319.50

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Solution

The fourth proportional to 494.16, 681.94 and 319.50 is: 440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.16 : 681.94 = 319.50 : x
  2. Step 2: Convert to fraction form
    494.16/681.94 = 319.50/x
  3. Step 3: Cross multiply
    494.16x = 681.94 × 319.50
  4. Step 4: Simplify right side
    494.16x = 217,878.43
  5. Step 5: Solve for x
    x = 217,878.43/494.16
  6. Step 6: Final answer
    x = 440.91

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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.