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Finding the Fourth Proportional to 608.65, 839.74 and 360.05

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Solution

The fourth proportional to 608.65, 839.74 and 360.05 is: 496.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.65 : 839.74 = 360.05 : x
  2. Step 2: Convert to fraction form
    608.65/839.74 = 360.05/x
  3. Step 3: Cross multiply
    608.65x = 839.74 × 360.05
  4. Step 4: Simplify right side
    608.65x = 302,348.39
  5. Step 5: Solve for x
    x = 302,348.39/608.65
  6. Step 6: Final answer
    x = 496.75

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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.