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Finding the Fourth Proportional to 495.62, 683.98 and 318.68

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Solution

The fourth proportional to 495.62, 683.98 and 318.68 is: 439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.62 : 683.98 = 318.68 : x
  2. Step 2: Convert to fraction form
    495.62/683.98 = 318.68/x
  3. Step 3: Cross multiply
    495.62x = 683.98 × 318.68
  4. Step 4: Simplify right side
    495.62x = 217,969.15
  5. Step 5: Solve for x
    x = 217,969.15/495.62
  6. Step 6: Final answer
    x = 439.80

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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.