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Finding the Fourth Proportional to 580.12, 800.64 and 359.14

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Solution

The fourth proportional to 580.12, 800.64 and 359.14 is: 495.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.12 : 800.64 = 359.14 : x
  2. Step 2: Convert to fraction form
    580.12/800.64 = 359.14/x
  3. Step 3: Cross multiply
    580.12x = 800.64 × 359.14
  4. Step 4: Simplify right side
    580.12x = 287,541.85
  5. Step 5: Solve for x
    x = 287,541.85/580.12
  6. Step 6: Final answer
    x = 495.66

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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.