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Finding the Fourth Proportional to 404.59, 605.42 and 346.08

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Solution

The fourth proportional to 404.59, 605.42 and 346.08 is: 517.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.59 : 605.42 = 346.08 : x
  2. Step 2: Convert to fraction form
    404.59/605.42 = 346.08/x
  3. Step 3: Cross multiply
    404.59x = 605.42 × 346.08
  4. Step 4: Simplify right side
    404.59x = 209,519.00
  5. Step 5: Solve for x
    x = 209,519.00/404.59
  6. Step 6: Final answer
    x = 517.86

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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.