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Finding the Fourth Proportional to 650.29, 975.67 and 406.53

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Solution

The fourth proportional to 650.29, 975.67 and 406.53 is: 609.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.29 : 975.67 = 406.53 : x
  2. Step 2: Convert to fraction form
    650.29/975.67 = 406.53/x
  3. Step 3: Cross multiply
    650.29x = 975.67 × 406.53
  4. Step 4: Simplify right side
    650.29x = 396,639.13
  5. Step 5: Solve for x
    x = 396,639.13/650.29
  6. Step 6: Final answer
    x = 609.94

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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.