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Finding the Fourth Proportional to 934.44, 1,401.96 and 414.32

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Solution

The fourth proportional to 934.44, 1,401.96 and 414.32 is: 621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.44 : 1,401.96 = 414.32 : x
  2. Step 2: Convert to fraction form
    934.44/1,401.96 = 414.32/x
  3. Step 3: Cross multiply
    934.44x = 1,401.96 × 414.32
  4. Step 4: Simplify right side
    934.44x = 580,852.28
  5. Step 5: Solve for x
    x = 580,852.28/934.44
  6. Step 6: Final answer
    x = 621.61

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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.