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Finding the Fourth Proportional to 650.42, 975.63 and 376.82

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Solution

The fourth proportional to 650.42, 975.63 and 376.82 is: 565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.42 : 975.63 = 376.82 : x
  2. Step 2: Convert to fraction form
    650.42/975.63 = 376.82/x
  3. Step 3: Cross multiply
    650.42x = 975.63 × 376.82
  4. Step 4: Simplify right side
    650.42x = 367,636.90
  5. Step 5: Solve for x
    x = 367,636.90/650.42
  6. Step 6: Final answer
    x = 565.23

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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.