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Finding the Fourth Proportional to 933.94, 1,401.41 and 414.30

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Solution

The fourth proportional to 933.94, 1,401.41 and 414.30 is: 621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.94 : 1,401.41 = 414.30 : x
  2. Step 2: Convert to fraction form
    933.94/1,401.41 = 414.30/x
  3. Step 3: Cross multiply
    933.94x = 1,401.41 × 414.30
  4. Step 4: Simplify right side
    933.94x = 580,604.16
  5. Step 5: Solve for x
    x = 580,604.16/933.94
  6. Step 6: Final answer
    x = 621.67

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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.