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Finding the Fourth Proportional to 591.55, 814.60 and 404.85

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Solution

The fourth proportional to 591.55, 814.60 and 404.85 is: 557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.55 : 814.60 = 404.85 : x
  2. Step 2: Convert to fraction form
    591.55/814.60 = 404.85/x
  3. Step 3: Cross multiply
    591.55x = 814.60 × 404.85
  4. Step 4: Simplify right side
    591.55x = 329,785.72
  5. Step 5: Solve for x
    x = 329,785.72/591.55
  6. Step 6: Final answer
    x = 557.49

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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.