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Finding the Fourth Proportional to 580.32, 800.64 and 331.47

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Solution

The fourth proportional to 580.32, 800.64 and 331.47 is: 457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.32 : 800.64 = 331.47 : x
  2. Step 2: Convert to fraction form
    580.32/800.64 = 331.47/x
  3. Step 3: Cross multiply
    580.32x = 800.64 × 331.47
  4. Step 4: Simplify right side
    580.32x = 265,388.14
  5. Step 5: Solve for x
    x = 265,388.14/580.32
  6. Step 6: Final answer
    x = 457.31

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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.