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Finding the Fourth Proportional to 580.14, 800.61 and 370.32

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Solution

The fourth proportional to 580.14, 800.61 and 370.32 is: 511.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.14 : 800.61 = 370.32 : x
  2. Step 2: Convert to fraction form
    580.14/800.61 = 370.32/x
  3. Step 3: Cross multiply
    580.14x = 800.61 × 370.32
  4. Step 4: Simplify right side
    580.14x = 296,481.90
  5. Step 5: Solve for x
    x = 296,481.90/580.14
  6. Step 6: Final answer
    x = 511.05

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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.