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Finding the Fourth Proportional to 320.09, 480.41 and 175.91

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Solution

The fourth proportional to 320.09, 480.41 and 175.91 is: 264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.09 : 480.41 = 175.91 : x
  2. Step 2: Convert to fraction form
    320.09/480.41 = 175.91/x
  3. Step 3: Cross multiply
    320.09x = 480.41 × 175.91
  4. Step 4: Simplify right side
    320.09x = 84,509.24
  5. Step 5: Solve for x
    x = 84,509.24/320.09
  6. Step 6: Final answer
    x = 264.02

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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.