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Finding the Fourth Proportional to 320.57, 480.03 and 256.31

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Solution

The fourth proportional to 320.57, 480.03 and 256.31 is: 383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.57 : 480.03 = 256.31 : x
  2. Step 2: Convert to fraction form
    320.57/480.03 = 256.31/x
  3. Step 3: Cross multiply
    320.57x = 480.03 × 256.31
  4. Step 4: Simplify right side
    320.57x = 123,034.09
  5. Step 5: Solve for x
    x = 123,034.09/320.57
  6. Step 6: Final answer
    x = 383.80

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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.