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Finding the Fourth Proportional to 590.39, 884.22 and 452.39

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Solution

The fourth proportional to 590.39, 884.22 and 452.39 is: 677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.39 : 884.22 = 452.39 : x
  2. Step 2: Convert to fraction form
    590.39/884.22 = 452.39/x
  3. Step 3: Cross multiply
    590.39x = 884.22 × 452.39
  4. Step 4: Simplify right side
    590.39x = 400,006.17
  5. Step 5: Solve for x
    x = 400,006.17/590.39
  6. Step 6: Final answer
    x = 677.53

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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.