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Finding the Fourth Proportional to 469.50, 643.61 and 468.60

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Solution

The fourth proportional to 469.50, 643.61 and 468.60 is: 642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.50 : 643.61 = 468.60 : x
  2. Step 2: Convert to fraction form
    469.50/643.61 = 468.60/x
  3. Step 3: Cross multiply
    469.50x = 643.61 × 468.60
  4. Step 4: Simplify right side
    469.50x = 301,593.30
  5. Step 5: Solve for x
    x = 301,593.30/469.50
  6. Step 6: Final answer
    x = 642.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.