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Finding the Fourth Proportional to 580.96, 801.66 and 406

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Solution

The fourth proportional to 580.96, 801.66 and 406 is: 560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.96 : 801.66 = 406 : x
  2. Step 2: Convert to fraction form
    580.96/801.66 = 406/x
  3. Step 3: Cross multiply
    580.96x = 801.66 × 406
  4. Step 4: Simplify right side
    580.96x = 325,473.96
  5. Step 5: Solve for x
    x = 325,473.96/580.96
  6. Step 6: Final answer
    x = 560.23

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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.