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Finding the Fourth Proportional to 590.24, 814.56 and 442.64

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Solution

The fourth proportional to 590.24, 814.56 and 442.64 is: 610.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.24 : 814.56 = 442.64 : x
  2. Step 2: Convert to fraction form
    590.24/814.56 = 442.64/x
  3. Step 3: Cross multiply
    590.24x = 814.56 × 442.64
  4. Step 4: Simplify right side
    590.24x = 360,556.84
  5. Step 5: Solve for x
    x = 360,556.84/590.24
  6. Step 6: Final answer
    x = 610.86

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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.