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Finding the Fourth Proportional to 495.24, 683.43 and 298.77

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Solution

The fourth proportional to 495.24, 683.43 and 298.77 is: 412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.24 : 683.43 = 298.77 : x
  2. Step 2: Convert to fraction form
    495.24/683.43 = 298.77/x
  3. Step 3: Cross multiply
    495.24x = 683.43 × 298.77
  4. Step 4: Simplify right side
    495.24x = 204,188.38
  5. Step 5: Solve for x
    x = 204,188.38/495.24
  6. Step 6: Final answer
    x = 412.30

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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.