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Finding the Fourth Proportional to 580.63, 801.31 and 356.59

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Solution

The fourth proportional to 580.63, 801.31 and 356.59 is: 492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.63 : 801.31 = 356.59 : x
  2. Step 2: Convert to fraction form
    580.63/801.31 = 356.59/x
  3. Step 3: Cross multiply
    580.63x = 801.31 × 356.59
  4. Step 4: Simplify right side
    580.63x = 285,739.13
  5. Step 5: Solve for x
    x = 285,739.13/580.63
  6. Step 6: Final answer
    x = 492.12

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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.