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Finding the Fourth Proportional to 608.23, 839.64 and 461.53

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Solution

The fourth proportional to 608.23, 839.64 and 461.53 is: 637.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.23 : 839.64 = 461.53 : x
  2. Step 2: Convert to fraction form
    608.23/839.64 = 461.53/x
  3. Step 3: Cross multiply
    608.23x = 839.64 × 461.53
  4. Step 4: Simplify right side
    608.23x = 387,519.05
  5. Step 5: Solve for x
    x = 387,519.05/608.23
  6. Step 6: Final answer
    x = 637.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.