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Finding the Fourth Proportional to 605.72, 903.34 and 515

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Solution

The fourth proportional to 605.72, 903.34 and 515 is: 768.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.72 : 903.34 = 515 : x
  2. Step 2: Convert to fraction form
    605.72/903.34 = 515/x
  3. Step 3: Cross multiply
    605.72x = 903.34 × 515
  4. Step 4: Simplify right side
    605.72x = 465,220.10
  5. Step 5: Solve for x
    x = 465,220.10/605.72
  6. Step 6: Final answer
    x = 768.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.