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Finding the Fourth Proportional to 441.92, 659.64 and 384.56

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Solution

The fourth proportional to 441.92, 659.64 and 384.56 is: 574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.92 : 659.64 = 384.56 : x
  2. Step 2: Convert to fraction form
    441.92/659.64 = 384.56/x
  3. Step 3: Cross multiply
    441.92x = 659.64 × 384.56
  4. Step 4: Simplify right side
    441.92x = 253,671.16
  5. Step 5: Solve for x
    x = 253,671.16/441.92
  6. Step 6: Final answer
    x = 574.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.