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Finding the Fourth Proportional to 495.46, 683.71 and 285.60

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Solution

The fourth proportional to 495.46, 683.71 and 285.60 is: 394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.46 : 683.71 = 285.60 : x
  2. Step 2: Convert to fraction form
    495.46/683.71 = 285.60/x
  3. Step 3: Cross multiply
    495.46x = 683.71 × 285.60
  4. Step 4: Simplify right side
    495.46x = 195,269.43
  5. Step 5: Solve for x
    x = 195,269.43/495.46
  6. Step 6: Final answer
    x = 394.12

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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.