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Finding the Fourth Proportional to 590.26, 883.22 and 518.98

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Solution

The fourth proportional to 590.26, 883.22 and 518.98 is: 776.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.26 : 883.22 = 518.98 : x
  2. Step 2: Convert to fraction form
    590.26/883.22 = 518.98/x
  3. Step 3: Cross multiply
    590.26x = 883.22 × 518.98
  4. Step 4: Simplify right side
    590.26x = 458,373.52
  5. Step 5: Solve for x
    x = 458,373.52/590.26
  6. Step 6: Final answer
    x = 776.56

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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.