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Finding the Fourth Proportional to 495.54, 683.86 and 298.94

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Solution

The fourth proportional to 495.54, 683.86 and 298.94 is: 412.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.54 : 683.86 = 298.94 : x
  2. Step 2: Convert to fraction form
    495.54/683.86 = 298.94/x
  3. Step 3: Cross multiply
    495.54x = 683.86 × 298.94
  4. Step 4: Simplify right side
    495.54x = 204,430.65
  5. Step 5: Solve for x
    x = 204,430.65/495.54
  6. Step 6: Final answer
    x = 412.54

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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.