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Finding the Fourth Proportional to 580.14, 800.52 and 331.43

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Solution

The fourth proportional to 580.14, 800.52 and 331.43 is: 457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.14 : 800.52 = 331.43 : x
  2. Step 2: Convert to fraction form
    580.14/800.52 = 331.43/x
  3. Step 3: Cross multiply
    580.14x = 800.52 × 331.43
  4. Step 4: Simplify right side
    580.14x = 265,312.34
  5. Step 5: Solve for x
    x = 265,312.34/580.14
  6. Step 6: Final answer
    x = 457.32

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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.