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Finding the Fourth Proportional to 443.84, 611.84 and 356.56

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Solution

The fourth proportional to 443.84, 611.84 and 356.56 is: 491.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.84 : 611.84 = 356.56 : x
  2. Step 2: Convert to fraction form
    443.84/611.84 = 356.56/x
  3. Step 3: Cross multiply
    443.84x = 611.84 × 356.56
  4. Step 4: Simplify right side
    443.84x = 218,157.67
  5. Step 5: Solve for x
    x = 218,157.67/443.84
  6. Step 6: Final answer
    x = 491.52

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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.