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Finding the Fourth Proportional to 495.54, 683.82 and 285.75

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Solution

The fourth proportional to 495.54, 683.82 and 285.75 is: 394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.54 : 683.82 = 285.75 : x
  2. Step 2: Convert to fraction form
    495.54/683.82 = 285.75/x
  3. Step 3: Cross multiply
    495.54x = 683.82 × 285.75
  4. Step 4: Simplify right side
    495.54x = 195,401.57
  5. Step 5: Solve for x
    x = 195,401.57/495.54
  6. Step 6: Final answer
    x = 394.32

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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.