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Finding the Fourth Proportional to 625.26, 937.38 and 364.62

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Solution

The fourth proportional to 625.26, 937.38 and 364.62 is: 546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.26 : 937.38 = 364.62 : x
  2. Step 2: Convert to fraction form
    625.26/937.38 = 364.62/x
  3. Step 3: Cross multiply
    625.26x = 937.38 × 364.62
  4. Step 4: Simplify right side
    625.26x = 341,792.38
  5. Step 5: Solve for x
    x = 341,792.38/625.26
  6. Step 6: Final answer
    x = 546.64

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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.