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Finding the Fourth Proportional to 650.57, 974.84 and 375.98

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Solution

The fourth proportional to 650.57, 974.84 and 375.98 is: 563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.57 : 974.84 = 375.98 : x
  2. Step 2: Convert to fraction form
    650.57/974.84 = 375.98/x
  3. Step 3: Cross multiply
    650.57x = 974.84 × 375.98
  4. Step 4: Simplify right side
    650.57x = 366,513.59
  5. Step 5: Solve for x
    x = 366,513.59/650.57
  6. Step 6: Final answer
    x = 563.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.