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Finding the Fourth Proportional to 607.98, 838.91 and 359.24

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Solution

The fourth proportional to 607.98, 838.91 and 359.24 is: 495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.98 : 838.91 = 359.24 : x
  2. Step 2: Convert to fraction form
    607.98/838.91 = 359.24/x
  3. Step 3: Cross multiply
    607.98x = 838.91 × 359.24
  4. Step 4: Simplify right side
    607.98x = 301,364.04
  5. Step 5: Solve for x
    x = 301,364.04/607.98
  6. Step 6: Final answer
    x = 495.68

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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.