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Finding the Fourth Proportional to 607.75, 838.85 and 345.92

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Solution

The fourth proportional to 607.75, 838.85 and 345.92 is: 477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.75 : 838.85 = 345.92 : x
  2. Step 2: Convert to fraction form
    607.75/838.85 = 345.92/x
  3. Step 3: Cross multiply
    607.75x = 838.85 × 345.92
  4. Step 4: Simplify right side
    607.75x = 290,172.03
  5. Step 5: Solve for x
    x = 290,172.03/607.75
  6. Step 6: Final answer
    x = 477.45

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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.