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Finding the Fourth Proportional to 650.35, 975.82 and 376.67

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Solution

The fourth proportional to 650.35, 975.82 and 376.67 is: 565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.35 : 975.82 = 376.67 : x
  2. Step 2: Convert to fraction form
    650.35/975.82 = 376.67/x
  3. Step 3: Cross multiply
    650.35x = 975.82 × 376.67
  4. Step 4: Simplify right side
    650.35x = 367,557.24
  5. Step 5: Solve for x
    x = 367,557.24/650.35
  6. Step 6: Final answer
    x = 565.17

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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.