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Finding the Fourth Proportional to 404.58, 605.68 and 362.88

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Solution

The fourth proportional to 404.58, 605.68 and 362.88 is: 543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.58 : 605.68 = 362.88 : x
  2. Step 2: Convert to fraction form
    404.58/605.68 = 362.88/x
  3. Step 3: Cross multiply
    404.58x = 605.68 × 362.88
  4. Step 4: Simplify right side
    404.58x = 219,789.16
  5. Step 5: Solve for x
    x = 219,789.16/404.58
  6. Step 6: Final answer
    x = 543.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.