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Finding the Fourth Proportional to 580.94, 801.62 and 344.88

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Solution

The fourth proportional to 580.94, 801.62 and 344.88 is: 475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.94 : 801.62 = 344.88 : x
  2. Step 2: Convert to fraction form
    580.94/801.62 = 344.88/x
  3. Step 3: Cross multiply
    580.94x = 801.62 × 344.88
  4. Step 4: Simplify right side
    580.94x = 276,462.71
  5. Step 5: Solve for x
    x = 276,462.71/580.94
  6. Step 6: Final answer
    x = 475.89

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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.