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Finding the Fourth Proportional to 444.70, 613.11 and 346.06

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Solution

The fourth proportional to 444.70, 613.11 and 346.06 is: 477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.70 : 613.11 = 346.06 : x
  2. Step 2: Convert to fraction form
    444.70/613.11 = 346.06/x
  3. Step 3: Cross multiply
    444.70x = 613.11 × 346.06
  4. Step 4: Simplify right side
    444.70x = 212,172.85
  5. Step 5: Solve for x
    x = 212,172.85/444.70
  6. Step 6: Final answer
    x = 477.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.