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Finding the Fourth Proportional to 590.09, 884.82 and 346.48

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Solution

The fourth proportional to 590.09, 884.82 and 346.48 is: 519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.09 : 884.82 = 346.48 : x
  2. Step 2: Convert to fraction form
    590.09/884.82 = 346.48/x
  3. Step 3: Cross multiply
    590.09x = 884.82 × 346.48
  4. Step 4: Simplify right side
    590.09x = 306,571.52
  5. Step 5: Solve for x
    x = 306,571.52/590.09
  6. Step 6: Final answer
    x = 519.54

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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.