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Finding the Fourth Proportional to 590.62, 814.26 and 413.35

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Solution

The fourth proportional to 590.62, 814.26 and 413.35 is: 569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.62 : 814.26 = 413.35 : x
  2. Step 2: Convert to fraction form
    590.62/814.26 = 413.35/x
  3. Step 3: Cross multiply
    590.62x = 814.26 × 413.35
  4. Step 4: Simplify right side
    590.62x = 336,574.37
  5. Step 5: Solve for x
    x = 336,574.37/590.62
  6. Step 6: Final answer
    x = 569.87

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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.