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Finding the Fourth Proportional to 320.87, 480.53 and 223.25

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Solution

The fourth proportional to 320.87, 480.53 and 223.25 is: 334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.87 : 480.53 = 223.25 : x
  2. Step 2: Convert to fraction form
    320.87/480.53 = 223.25/x
  3. Step 3: Cross multiply
    320.87x = 480.53 × 223.25
  4. Step 4: Simplify right side
    320.87x = 107,278.32
  5. Step 5: Solve for x
    x = 107,278.32/320.87
  6. Step 6: Final answer
    x = 334.34

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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.