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Finding the Fourth Proportional to 580.57, 801.14 and 331.84

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Solution

The fourth proportional to 580.57, 801.14 and 331.84 is: 457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.57 : 801.14 = 331.84 : x
  2. Step 2: Convert to fraction form
    580.57/801.14 = 331.84/x
  3. Step 3: Cross multiply
    580.57x = 801.14 × 331.84
  4. Step 4: Simplify right side
    580.57x = 265,849.64
  5. Step 5: Solve for x
    x = 265,849.64/580.57
  6. Step 6: Final answer
    x = 457.91

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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.