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Finding the Fourth Proportional to 605.65, 907.85 and 345.09

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Solution

The fourth proportional to 605.65, 907.85 and 345.09 is: 517.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.65 : 907.85 = 345.09 : x
  2. Step 2: Convert to fraction form
    605.65/907.85 = 345.09/x
  3. Step 3: Cross multiply
    605.65x = 907.85 × 345.09
  4. Step 4: Simplify right side
    605.65x = 313,289.96
  5. Step 5: Solve for x
    x = 313,289.96/605.65
  6. Step 6: Final answer
    x = 517.28

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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.