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Finding the Fourth Proportional to 494.96, 683.35 and 318.00

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Solution

The fourth proportional to 494.96, 683.35 and 318.00 is: 439.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.96 : 683.35 = 318.00 : x
  2. Step 2: Convert to fraction form
    494.96/683.35 = 318.00/x
  3. Step 3: Cross multiply
    494.96x = 683.35 × 318.00
  4. Step 4: Simplify right side
    494.96x = 217,304.39
  5. Step 5: Solve for x
    x = 217,304.39/494.96
  6. Step 6: Final answer
    x = 439.04

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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.