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Finding the Fourth Proportional to 605.96, 838.20 and 507.56

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Solution

The fourth proportional to 605.96, 838.20 and 507.56 is: 702.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.96 : 838.20 = 507.56 : x
  2. Step 2: Convert to fraction form
    605.96/838.20 = 507.56/x
  3. Step 3: Cross multiply
    605.96x = 838.20 × 507.56
  4. Step 4: Simplify right side
    605.96x = 425,436.79
  5. Step 5: Solve for x
    x = 425,436.79/605.96
  6. Step 6: Final answer
    x = 702.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.