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Finding the Fourth Proportional to 495, 743.30 and 414.44

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Solution

The fourth proportional to 495, 743.30 and 414.44 is: 622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    495 : 743.30 = 414.44 : x
  2. Step 2: Convert to fraction form
    495/743.30 = 414.44/x
  3. Step 3: Cross multiply
    495x = 743.30 × 414.44
  4. Step 4: Simplify right side
    495x = 308,053.25
  5. Step 5: Solve for x
    x = 308,053.25/495
  6. Step 6: Final answer
    x = 622.33

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