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Finding the Fourth Proportional to 492.69, 680.33 and 337.89

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Solution

The fourth proportional to 492.69, 680.33 and 337.89 is: 466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.69 : 680.33 = 337.89 : x
  2. Step 2: Convert to fraction form
    492.69/680.33 = 337.89/x
  3. Step 3: Cross multiply
    492.69x = 680.33 × 337.89
  4. Step 4: Simplify right side
    492.69x = 229,875.01
  5. Step 5: Solve for x
    x = 229,875.01/492.69
  6. Step 6: Final answer
    x = 466.57

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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.