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Finding the Fourth Proportional to 590.76, 815.37 and 413.64

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Solution

The fourth proportional to 590.76, 815.37 and 413.64 is: 570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.76 : 815.37 = 413.64 : x
  2. Step 2: Convert to fraction form
    590.76/815.37 = 413.64/x
  3. Step 3: Cross multiply
    590.76x = 815.37 × 413.64
  4. Step 4: Simplify right side
    590.76x = 337,269.65
  5. Step 5: Solve for x
    x = 337,269.65/590.76
  6. Step 6: Final answer
    x = 570.91

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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.