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Finding the Fourth Proportional to 607.49, 838.41 and 342.03

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Solution

The fourth proportional to 607.49, 838.41 and 342.03 is: 472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.49 : 838.41 = 342.03 : x
  2. Step 2: Convert to fraction form
    607.49/838.41 = 342.03/x
  3. Step 3: Cross multiply
    607.49x = 838.41 × 342.03
  4. Step 4: Simplify right side
    607.49x = 286,759.78
  5. Step 5: Solve for x
    x = 286,759.78/607.49
  6. Step 6: Final answer
    x = 472.04

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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.