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Finding the Fourth Proportional to 492.46, 679.24 and 306.06

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Solution

The fourth proportional to 492.46, 679.24 and 306.06 is: 422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.46 : 679.24 = 306.06 : x
  2. Step 2: Convert to fraction form
    492.46/679.24 = 306.06/x
  3. Step 3: Cross multiply
    492.46x = 679.24 × 306.06
  4. Step 4: Simplify right side
    492.46x = 207,888.19
  5. Step 5: Solve for x
    x = 207,888.19/492.46
  6. Step 6: Final answer
    x = 422.14

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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.