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Finding the Fourth Proportional to 444.24, 613.20 and 305.07

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Solution

The fourth proportional to 444.24, 613.20 and 305.07 is: 421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.24 : 613.20 = 305.07 : x
  2. Step 2: Convert to fraction form
    444.24/613.20 = 305.07/x
  3. Step 3: Cross multiply
    444.24x = 613.20 × 305.07
  4. Step 4: Simplify right side
    444.24x = 187,068.92
  5. Step 5: Solve for x
    x = 187,068.92/444.24
  6. Step 6: Final answer
    x = 421.10

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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.