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Finding the Fourth Proportional to 650.10, 975.32 and 465.22

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Solution

The fourth proportional to 650.10, 975.32 and 465.22 is: 697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.10 : 975.32 = 465.22 : x
  2. Step 2: Convert to fraction form
    650.10/975.32 = 465.22/x
  3. Step 3: Cross multiply
    650.10x = 975.32 × 465.22
  4. Step 4: Simplify right side
    650.10x = 453,738.37
  5. Step 5: Solve for x
    x = 453,738.37/650.10
  6. Step 6: Final answer
    x = 697.95

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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.