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Finding the Fourth Proportional to 588.29, 811.84 and 413.93

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Solution

The fourth proportional to 588.29, 811.84 and 413.93 is: 571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.29 : 811.84 = 413.93 : x
  2. Step 2: Convert to fraction form
    588.29/811.84 = 413.93/x
  3. Step 3: Cross multiply
    588.29x = 811.84 × 413.93
  4. Step 4: Simplify right side
    588.29x = 336,045.93
  5. Step 5: Solve for x
    x = 336,045.93/588.29
  6. Step 6: Final answer
    x = 571.23

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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.