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Finding the Fourth Proportional to 608.10, 838.92 and 372.06

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Solution

The fourth proportional to 608.10, 838.92 and 372.06 is: 513.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.10 : 838.92 = 372.06 : x
  2. Step 2: Convert to fraction form
    608.10/838.92 = 372.06/x
  3. Step 3: Cross multiply
    608.10x = 838.92 × 372.06
  4. Step 4: Simplify right side
    608.10x = 312,128.58
  5. Step 5: Solve for x
    x = 312,128.58/608.10
  6. Step 6: Final answer
    x = 513.28

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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.