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Finding the Fourth Proportional to 580.69, 801.28 and 344.64

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Solution

The fourth proportional to 580.69, 801.28 and 344.64 is: 475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.69 : 801.28 = 344.64 : x
  2. Step 2: Convert to fraction form
    580.69/801.28 = 344.64/x
  3. Step 3: Cross multiply
    580.69x = 801.28 × 344.64
  4. Step 4: Simplify right side
    580.69x = 276,153.14
  5. Step 5: Solve for x
    x = 276,153.14/580.69
  6. Step 6: Final answer
    x = 475.56

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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.