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Finding the Fourth Proportional to 590.16, 814.20 and 415.44

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Solution

The fourth proportional to 590.16, 814.20 and 415.44 is: 573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.16 : 814.20 = 415.44 : x
  2. Step 2: Convert to fraction form
    590.16/814.20 = 415.44/x
  3. Step 3: Cross multiply
    590.16x = 814.20 × 415.44
  4. Step 4: Simplify right side
    590.16x = 338,251.25
  5. Step 5: Solve for x
    x = 338,251.25/590.16
  6. Step 6: Final answer
    x = 573.15

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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.