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Finding the Fourth Proportional to 607.28, 838.20 and 416.12

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Solution

The fourth proportional to 607.28, 838.20 and 416.12 is: 574.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.28 : 838.20 = 416.12 : x
  2. Step 2: Convert to fraction form
    607.28/838.20 = 416.12/x
  3. Step 3: Cross multiply
    607.28x = 838.20 × 416.12
  4. Step 4: Simplify right side
    607.28x = 348,791.78
  5. Step 5: Solve for x
    x = 348,791.78/607.28
  6. Step 6: Final answer
    x = 574.35

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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.