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Finding the Fourth Proportional to 608.66, 839.93 and 343.11

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Solution

The fourth proportional to 608.66, 839.93 and 343.11 is: 473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.66 : 839.93 = 343.11 : x
  2. Step 2: Convert to fraction form
    608.66/839.93 = 343.11/x
  3. Step 3: Cross multiply
    608.66x = 839.93 × 343.11
  4. Step 4: Simplify right side
    608.66x = 288,186.67
  5. Step 5: Solve for x
    x = 288,186.67/608.66
  6. Step 6: Final answer
    x = 473.48

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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.