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Finding the Fourth Proportional to 999.41, 1,499.31 and 414.32

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Solution

The fourth proportional to 999.41, 1,499.31 and 414.32 is: 621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.41 : 1,499.31 = 414.32 : x
  2. Step 2: Convert to fraction form
    999.41/1,499.31 = 414.32/x
  3. Step 3: Cross multiply
    999.41x = 1,499.31 × 414.32
  4. Step 4: Simplify right side
    999.41x = 621,186.62
  5. Step 5: Solve for x
    x = 621,186.62/999.41
  6. Step 6: Final answer
    x = 621.56

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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.