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Finding the Fourth Proportional to 492.33, 678.72 and 352.39

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Solution

The fourth proportional to 492.33, 678.72 and 352.39 is: 485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.33 : 678.72 = 352.39 : x
  2. Step 2: Convert to fraction form
    492.33/678.72 = 352.39/x
  3. Step 3: Cross multiply
    492.33x = 678.72 × 352.39
  4. Step 4: Simplify right side
    492.33x = 239,174.14
  5. Step 5: Solve for x
    x = 239,174.14/492.33
  6. Step 6: Final answer
    x = 485.80

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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.