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Finding the Fourth Proportional to 573.86, 858.84 and 412.61

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Solution

The fourth proportional to 573.86, 858.84 and 412.61 is: 617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.86 : 858.84 = 412.61 : x
  2. Step 2: Convert to fraction form
    573.86/858.84 = 412.61/x
  3. Step 3: Cross multiply
    573.86x = 858.84 × 412.61
  4. Step 4: Simplify right side
    573.86x = 354,365.97
  5. Step 5: Solve for x
    x = 354,365.97/573.86
  6. Step 6: Final answer
    x = 617.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.