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Finding the Fourth Proportional to 608.25, 839.54 and 346.42

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Solution

The fourth proportional to 608.25, 839.54 and 346.42 is: 478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.25 : 839.54 = 346.42 : x
  2. Step 2: Convert to fraction form
    608.25/839.54 = 346.42/x
  3. Step 3: Cross multiply
    608.25x = 839.54 × 346.42
  4. Step 4: Simplify right side
    608.25x = 290,829.62
  5. Step 5: Solve for x
    x = 290,829.62/608.25
  6. Step 6: Final answer
    x = 478.14

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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.