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Finding the Fourth Proportional to 608.68, 839.82 and 346.60

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Solution

The fourth proportional to 608.68, 839.82 and 346.60 is: 478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.68 : 839.82 = 346.60 : x
  2. Step 2: Convert to fraction form
    608.68/839.82 = 346.60/x
  3. Step 3: Cross multiply
    608.68x = 839.82 × 346.60
  4. Step 4: Simplify right side
    608.68x = 291,081.61
  5. Step 5: Solve for x
    x = 291,081.61/608.68
  6. Step 6: Final answer
    x = 478.22

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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.