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Finding the Fourth Proportional to 492.86, 738.50 and 338.26

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Solution

The fourth proportional to 492.86, 738.50 and 338.26 is: 506.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.86 : 738.50 = 338.26 : x
  2. Step 2: Convert to fraction form
    492.86/738.50 = 338.26/x
  3. Step 3: Cross multiply
    492.86x = 738.50 × 338.26
  4. Step 4: Simplify right side
    492.86x = 249,805.01
  5. Step 5: Solve for x
    x = 249,805.01/492.86
  6. Step 6: Final answer
    x = 506.85

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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.