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Finding the Fourth Proportional to 607.94, 838.85 and 346.01

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Solution

The fourth proportional to 607.94, 838.85 and 346.01 is: 477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.94 : 838.85 = 346.01 : x
  2. Step 2: Convert to fraction form
    607.94/838.85 = 346.01/x
  3. Step 3: Cross multiply
    607.94x = 838.85 × 346.01
  4. Step 4: Simplify right side
    607.94x = 290,244.56
  5. Step 5: Solve for x
    x = 290,244.56/607.94
  6. Step 6: Final answer
    x = 477.43

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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.