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Finding the Fourth Proportional to 516.08, 712.60 and 413.04

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Solution

The fourth proportional to 516.08, 712.60 and 413.04 is: 570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.08 : 712.60 = 413.04 : x
  2. Step 2: Convert to fraction form
    516.08/712.60 = 413.04/x
  3. Step 3: Cross multiply
    516.08x = 712.60 × 413.04
  4. Step 4: Simplify right side
    516.08x = 294,332.30
  5. Step 5: Solve for x
    x = 294,332.30/516.08
  6. Step 6: Final answer
    x = 570.32

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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.