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Finding the Fourth Proportional to 608.42, 839.50 and 359.62

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Solution

The fourth proportional to 608.42, 839.50 and 359.62 is: 496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.42 : 839.50 = 359.62 : x
  2. Step 2: Convert to fraction form
    608.42/839.50 = 359.62/x
  3. Step 3: Cross multiply
    608.42x = 839.50 × 359.62
  4. Step 4: Simplify right side
    608.42x = 301,897.99
  5. Step 5: Solve for x
    x = 301,897.99/608.42
  6. Step 6: Final answer
    x = 496.20

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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.