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Finding the Fourth Proportional to 607.88, 838.96 and 359.22

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Solution

The fourth proportional to 607.88, 838.96 and 359.22 is: 495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.88 : 838.96 = 359.22 : x
  2. Step 2: Convert to fraction form
    607.88/838.96 = 359.22/x
  3. Step 3: Cross multiply
    607.88x = 838.96 × 359.22
  4. Step 4: Simplify right side
    607.88x = 301,371.21
  5. Step 5: Solve for x
    x = 301,371.21/607.88
  6. Step 6: Final answer
    x = 495.77

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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.