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Finding the Fourth Proportional to 607.98, 838.75 and 359.20

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Solution

The fourth proportional to 607.98, 838.75 and 359.20 is: 495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.98 : 838.75 = 359.20 : x
  2. Step 2: Convert to fraction form
    607.98/838.75 = 359.20/x
  3. Step 3: Cross multiply
    607.98x = 838.75 × 359.20
  4. Step 4: Simplify right side
    607.98x = 301,279
  5. Step 5: Solve for x
    x = 301,279/607.98
  6. Step 6: Final answer
    x = 495.54

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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.