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Finding the Fourth Proportional to 441.52, 661.98 and 320.02

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Solution

The fourth proportional to 441.52, 661.98 and 320.02 is: 479.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.52 : 661.98 = 320.02 : x
  2. Step 2: Convert to fraction form
    441.52/661.98 = 320.02/x
  3. Step 3: Cross multiply
    441.52x = 661.98 × 320.02
  4. Step 4: Simplify right side
    441.52x = 211,846.84
  5. Step 5: Solve for x
    x = 211,846.84/441.52
  6. Step 6: Final answer
    x = 479.81

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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.