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Finding the Fourth Proportional to 607.84, 838.92 and 359.20

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Solution

The fourth proportional to 607.84, 838.92 and 359.20 is: 495.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.84 : 838.92 = 359.20 : x
  2. Step 2: Convert to fraction form
    607.84/838.92 = 359.20/x
  3. Step 3: Cross multiply
    607.84x = 838.92 × 359.20
  4. Step 4: Simplify right side
    607.84x = 301,342.46
  5. Step 5: Solve for x
    x = 301,342.46/607.84
  6. Step 6: Final answer
    x = 495.76

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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.