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Finding the Fourth Proportional to 444.38, 667.30 and 307.46

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Solution

The fourth proportional to 444.38, 667.30 and 307.46 is: 461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.38 : 667.30 = 307.46 : x
  2. Step 2: Convert to fraction form
    444.38/667.30 = 307.46/x
  3. Step 3: Cross multiply
    444.38x = 667.30 × 307.46
  4. Step 4: Simplify right side
    444.38x = 205,168.06
  5. Step 5: Solve for x
    x = 205,168.06/444.38
  6. Step 6: Final answer
    x = 461.70

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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.