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Finding the Fourth Proportional to 495.12, 683.37 and 298.59

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Solution

The fourth proportional to 495.12, 683.37 and 298.59 is: 412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.12 : 683.37 = 298.59 : x
  2. Step 2: Convert to fraction form
    495.12/683.37 = 298.59/x
  3. Step 3: Cross multiply
    495.12x = 683.37 × 298.59
  4. Step 4: Simplify right side
    495.12x = 204,047.45
  5. Step 5: Solve for x
    x = 204,047.45/495.12
  6. Step 6: Final answer
    x = 412.12

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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.