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Finding the Fourth Proportional to 605.75, 908.51 and 346.28

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Solution

The fourth proportional to 605.75, 908.51 and 346.28 is: 519.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.75 : 908.51 = 346.28 : x
  2. Step 2: Convert to fraction form
    605.75/908.51 = 346.28/x
  3. Step 3: Cross multiply
    605.75x = 908.51 × 346.28
  4. Step 4: Simplify right side
    605.75x = 314,592.57
  5. Step 5: Solve for x
    x = 314,592.57/605.75
  6. Step 6: Final answer
    x = 519.35

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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.