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Finding the Fourth Proportional to 320.51, 480.22 and 289.39

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Solution

The fourth proportional to 320.51, 480.22 and 289.39 is: 433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.51 : 480.22 = 289.39 : x
  2. Step 2: Convert to fraction form
    320.51/480.22 = 289.39/x
  3. Step 3: Cross multiply
    320.51x = 480.22 × 289.39
  4. Step 4: Simplify right side
    320.51x = 138,970.87
  5. Step 5: Solve for x
    x = 138,970.87/320.51
  6. Step 6: Final answer
    x = 433.59

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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.