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Finding the Fourth Proportional to 492.47, 679.57 and 290.65

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Solution

The fourth proportional to 492.47, 679.57 and 290.65 is: 401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.47 : 679.57 = 290.65 : x
  2. Step 2: Convert to fraction form
    492.47/679.57 = 290.65/x
  3. Step 3: Cross multiply
    492.47x = 679.57 × 290.65
  4. Step 4: Simplify right side
    492.47x = 197,517.02
  5. Step 5: Solve for x
    x = 197,517.02/492.47
  6. Step 6: Final answer
    x = 401.07

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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.