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Finding the Fourth Proportional to 590.76, 814.25 and 413.78

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Solution

The fourth proportional to 590.76, 814.25 and 413.78 is: 570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.76 : 814.25 = 413.78 : x
  2. Step 2: Convert to fraction form
    590.76/814.25 = 413.78/x
  3. Step 3: Cross multiply
    590.76x = 814.25 × 413.78
  4. Step 4: Simplify right side
    590.76x = 336,917.33
  5. Step 5: Solve for x
    x = 336,917.33/590.76
  6. Step 6: Final answer
    x = 570.31

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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.