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Finding the Fourth Proportional to 591.36, 815.92 and 404.88

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Solution

The fourth proportional to 591.36, 815.92 and 404.88 is: 558.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.36 : 815.92 = 404.88 : x
  2. Step 2: Convert to fraction form
    591.36/815.92 = 404.88/x
  3. Step 3: Cross multiply
    591.36x = 815.92 × 404.88
  4. Step 4: Simplify right side
    591.36x = 330,349.69
  5. Step 5: Solve for x
    x = 330,349.69/591.36
  6. Step 6: Final answer
    x = 558.63

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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.