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Finding the Fourth Proportional to 590.17, 884.77 and 404.56

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Solution

The fourth proportional to 590.17, 884.77 and 404.56 is: 606.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.17 : 884.77 = 404.56 : x
  2. Step 2: Convert to fraction form
    590.17/884.77 = 404.56/x
  3. Step 3: Cross multiply
    590.17x = 884.77 × 404.56
  4. Step 4: Simplify right side
    590.17x = 357,940.54
  5. Step 5: Solve for x
    x = 357,940.54/590.17
  6. Step 6: Final answer
    x = 606.51

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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.