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Finding the Fourth Proportional to 608.40, 838.34 and 563.54

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Solution

The fourth proportional to 608.40, 838.34 and 563.54 is: 776.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.40 : 838.34 = 563.54 : x
  2. Step 2: Convert to fraction form
    608.40/838.34 = 563.54/x
  3. Step 3: Cross multiply
    608.40x = 838.34 × 563.54
  4. Step 4: Simplify right side
    608.40x = 472,431.11
  5. Step 5: Solve for x
    x = 472,431.11/608.40
  6. Step 6: Final answer
    x = 776.51

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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.