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Finding the Fourth Proportional to 492.41, 680.18 and 362.09

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Solution

The fourth proportional to 492.41, 680.18 and 362.09 is: 500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.41 : 680.18 = 362.09 : x
  2. Step 2: Convert to fraction form
    492.41/680.18 = 362.09/x
  3. Step 3: Cross multiply
    492.41x = 680.18 × 362.09
  4. Step 4: Simplify right side
    492.41x = 246,281.16
  5. Step 5: Solve for x
    x = 246,281.16/492.41
  6. Step 6: Final answer
    x = 500.16

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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.