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Finding the Fourth Proportional to 495.15, 682.92 and 362.35

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Solution

The fourth proportional to 495.15, 682.92 and 362.35 is: 499.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.15 : 682.92 = 362.35 : x
  2. Step 2: Convert to fraction form
    495.15/682.92 = 362.35/x
  3. Step 3: Cross multiply
    495.15x = 682.92 × 362.35
  4. Step 4: Simplify right side
    495.15x = 247,456.06
  5. Step 5: Solve for x
    x = 247,456.06/495.15
  6. Step 6: Final answer
    x = 499.76

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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.