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Finding the Fourth Proportional to 608.63, 839.70 and 360.02

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Solution

The fourth proportional to 608.63, 839.70 and 360.02 is: 496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.63 : 839.70 = 360.02 : x
  2. Step 2: Convert to fraction form
    608.63/839.70 = 360.02/x
  3. Step 3: Cross multiply
    608.63x = 839.70 × 360.02
  4. Step 4: Simplify right side
    608.63x = 302,310.89
  5. Step 5: Solve for x
    x = 302,310.89/608.63
  6. Step 6: Final answer
    x = 496.71

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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.