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Finding the Fourth Proportional to 590.55, 814.68 and 415.98

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Solution

The fourth proportional to 590.55, 814.68 and 415.98 is: 573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.55 : 814.68 = 415.98 : x
  2. Step 2: Convert to fraction form
    590.55/814.68 = 415.98/x
  3. Step 3: Cross multiply
    590.55x = 814.68 × 415.98
  4. Step 4: Simplify right side
    590.55x = 338,890.59
  5. Step 5: Solve for x
    x = 338,890.59/590.55
  6. Step 6: Final answer
    x = 573.86

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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.