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Finding the Fourth Proportional to 580.48, 801.12 and 331.84

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Solution

The fourth proportional to 580.48, 801.12 and 331.84 is: 457.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.48 : 801.12 = 331.84 : x
  2. Step 2: Convert to fraction form
    580.48/801.12 = 331.84/x
  3. Step 3: Cross multiply
    580.48x = 801.12 × 331.84
  4. Step 4: Simplify right side
    580.48x = 265,843.66
  5. Step 5: Solve for x
    x = 265,843.66/580.48
  6. Step 6: Final answer
    x = 457.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.