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Finding the Fourth Proportional to 580.92, 801.42 and 413.10

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Solution

The fourth proportional to 580.92, 801.42 and 413.10 is: 569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.92 : 801.42 = 413.10 : x
  2. Step 2: Convert to fraction form
    580.92/801.42 = 413.10/x
  3. Step 3: Cross multiply
    580.92x = 801.42 × 413.10
  4. Step 4: Simplify right side
    580.92x = 331,066.60
  5. Step 5: Solve for x
    x = 331,066.60/580.92
  6. Step 6: Final answer
    x = 569.90

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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.