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Finding the Fourth Proportional to 492.29, 738.21 and 286.92

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Solution

The fourth proportional to 492.29, 738.21 and 286.92 is: 430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.29 : 738.21 = 286.92 : x
  2. Step 2: Convert to fraction form
    492.29/738.21 = 286.92/x
  3. Step 3: Cross multiply
    492.29x = 738.21 × 286.92
  4. Step 4: Simplify right side
    492.29x = 211,805.78
  5. Step 5: Solve for x
    x = 211,805.78/492.29
  6. Step 6: Final answer
    x = 430.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.