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Finding the Fourth Proportional to 608.40, 839.50 and 342.85

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Solution

The fourth proportional to 608.40, 839.50 and 342.85 is: 473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.40 : 839.50 = 342.85 : x
  2. Step 2: Convert to fraction form
    608.40/839.50 = 342.85/x
  3. Step 3: Cross multiply
    608.40x = 839.50 × 342.85
  4. Step 4: Simplify right side
    608.40x = 287,822.58
  5. Step 5: Solve for x
    x = 287,822.58/608.40
  6. Step 6: Final answer
    x = 473.08

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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.