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Finding the Fourth Proportional to 996.10, 1,494.13 and 346.82

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Solution

The fourth proportional to 996.10, 1,494.13 and 346.82 is: 520.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.10 : 1,494.13 = 346.82 : x
  2. Step 2: Convert to fraction form
    996.10/1,494.13 = 346.82/x
  3. Step 3: Cross multiply
    996.10x = 1,494.13 × 346.82
  4. Step 4: Simplify right side
    996.10x = 518,184.96
  5. Step 5: Solve for x
    x = 518,184.96/996.10
  6. Step 6: Final answer
    x = 520.22

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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.