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Finding the Fourth Proportional to 590.44, 815.16 and 415.96

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Solution

The fourth proportional to 590.44, 815.16 and 415.96 is: 574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.44 : 815.16 = 415.96 : x
  2. Step 2: Convert to fraction form
    590.44/815.16 = 415.96/x
  3. Step 3: Cross multiply
    590.44x = 815.16 × 415.96
  4. Step 4: Simplify right side
    590.44x = 339,073.95
  5. Step 5: Solve for x
    x = 339,073.95/590.44
  6. Step 6: Final answer
    x = 574.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.