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Finding the Fourth Proportional to 580.96, 801.66 and 406.36

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Solution

The fourth proportional to 580.96, 801.66 and 406.36 is: 560.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.96 : 801.66 = 406.36 : x
  2. Step 2: Convert to fraction form
    580.96/801.66 = 406.36/x
  3. Step 3: Cross multiply
    580.96x = 801.66 × 406.36
  4. Step 4: Simplify right side
    580.96x = 325,762.56
  5. Step 5: Solve for x
    x = 325,762.56/580.96
  6. Step 6: Final answer
    x = 560.73

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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.