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Finding the Fourth Proportional to 468.26, 650.67 and 463.20

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Solution

The fourth proportional to 468.26, 650.67 and 463.20 is: 643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.26 : 650.67 = 463.20 : x
  2. Step 2: Convert to fraction form
    468.26/650.67 = 463.20/x
  3. Step 3: Cross multiply
    468.26x = 650.67 × 463.20
  4. Step 4: Simplify right side
    468.26x = 301,390.34
  5. Step 5: Solve for x
    x = 301,390.34/468.26
  6. Step 6: Final answer
    x = 643.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.