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Finding the Fourth Proportional to 580.31, 800.82 and 314.75

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Solution

The fourth proportional to 580.31, 800.82 and 314.75 is: 434.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.31 : 800.82 = 314.75 : x
  2. Step 2: Convert to fraction form
    580.31/800.82 = 314.75/x
  3. Step 3: Cross multiply
    580.31x = 800.82 × 314.75
  4. Step 4: Simplify right side
    580.31x = 252,058.10
  5. Step 5: Solve for x
    x = 252,058.10/580.31
  6. Step 6: Final answer
    x = 434.35

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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.