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Finding the Fourth Proportional to 492.65, 680.29 and 306.46

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Solution

The fourth proportional to 492.65, 680.29 and 306.46 is: 423.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.65 : 680.29 = 306.46 : x
  2. Step 2: Convert to fraction form
    492.65/680.29 = 306.46/x
  3. Step 3: Cross multiply
    492.65x = 680.29 × 306.46
  4. Step 4: Simplify right side
    492.65x = 208,478.27
  5. Step 5: Solve for x
    x = 208,478.27/492.65
  6. Step 6: Final answer
    x = 423.18

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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.