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Finding the Fourth Proportional to 590.37, 879.75 and 573.66

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Solution

The fourth proportional to 590.37, 879.75 and 573.66 is: 854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.37 : 879.75 = 573.66 : x
  2. Step 2: Convert to fraction form
    590.37/879.75 = 573.66/x
  3. Step 3: Cross multiply
    590.37x = 879.75 × 573.66
  4. Step 4: Simplify right side
    590.37x = 504,677.39
  5. Step 5: Solve for x
    x = 504,677.39/590.37
  6. Step 6: Final answer
    x = 854.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.