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Finding the Fourth Proportional to 441.42, 607.78 and 379.24

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Solution

The fourth proportional to 441.42, 607.78 and 379.24 is: 522.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.42 : 607.78 = 379.24 : x
  2. Step 2: Convert to fraction form
    441.42/607.78 = 379.24/x
  3. Step 3: Cross multiply
    441.42x = 607.78 × 379.24
  4. Step 4: Simplify right side
    441.42x = 230,494.49
  5. Step 5: Solve for x
    x = 230,494.49/441.42
  6. Step 6: Final answer
    x = 522.17

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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.