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Finding the Fourth Proportional to 495.34, 682.75 and 355.23

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Solution

The fourth proportional to 495.34, 682.75 and 355.23 is: 489.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.34 : 682.75 = 355.23 : x
  2. Step 2: Convert to fraction form
    495.34/682.75 = 355.23/x
  3. Step 3: Cross multiply
    495.34x = 682.75 × 355.23
  4. Step 4: Simplify right side
    495.34x = 242,532.39
  5. Step 5: Solve for x
    x = 242,532.39/495.34
  6. Step 6: Final answer
    x = 489.63

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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.