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Finding the Fourth Proportional to 680.63, 939.26 and 370.13

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Solution

The fourth proportional to 680.63, 939.26 and 370.13 is: 510.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.63 : 939.26 = 370.13 : x
  2. Step 2: Convert to fraction form
    680.63/939.26 = 370.13/x
  3. Step 3: Cross multiply
    680.63x = 939.26 × 370.13
  4. Step 4: Simplify right side
    680.63x = 347,644.53
  5. Step 5: Solve for x
    x = 347,644.53/680.63
  6. Step 6: Final answer
    x = 510.77

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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.