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Finding the Fourth Proportional to 650.23, 975.82 and 477.34

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Solution

The fourth proportional to 650.23, 975.82 and 477.34 is: 716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.23 : 975.82 = 477.34 : x
  2. Step 2: Convert to fraction form
    650.23/975.82 = 477.34/x
  3. Step 3: Cross multiply
    650.23x = 975.82 × 477.34
  4. Step 4: Simplify right side
    650.23x = 465,802.01
  5. Step 5: Solve for x
    x = 465,802.01/650.23
  6. Step 6: Final answer
    x = 716.37

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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.