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Finding the Fourth Proportional to 495.42, 683.62 and 285.54

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Solution

The fourth proportional to 495.42, 683.62 and 285.54 is: 394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.42 : 683.62 = 285.54 : x
  2. Step 2: Convert to fraction form
    495.42/683.62 = 285.54/x
  3. Step 3: Cross multiply
    495.42x = 683.62 × 285.54
  4. Step 4: Simplify right side
    495.42x = 195,200.85
  5. Step 5: Solve for x
    x = 195,200.85/495.42
  6. Step 6: Final answer
    x = 394.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.