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Finding the Fourth Proportional to 650.62, 975.90 and 468.34

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Solution

The fourth proportional to 650.62, 975.90 and 468.34 is: 702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.62 : 975.90 = 468.34 : x
  2. Step 2: Convert to fraction form
    650.62/975.90 = 468.34/x
  3. Step 3: Cross multiply
    650.62x = 975.90 × 468.34
  4. Step 4: Simplify right side
    650.62x = 457,053.01
  5. Step 5: Solve for x
    x = 457,053.01/650.62
  6. Step 6: Final answer
    x = 702.49

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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.