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Finding the Fourth Proportional to 495.67, 743.51 and 414.27

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Solution

The fourth proportional to 495.67, 743.51 and 414.27 is: 621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.67 : 743.51 = 414.27 : x
  2. Step 2: Convert to fraction form
    495.67/743.51 = 414.27/x
  3. Step 3: Cross multiply
    495.67x = 743.51 × 414.27
  4. Step 4: Simplify right side
    495.67x = 308,013.89
  5. Step 5: Solve for x
    x = 308,013.89/495.67
  6. Step 6: Final answer
    x = 621.41

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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.