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Finding the Fourth Proportional to 643.02, 887.48 and 421.88

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Solution

The fourth proportional to 643.02, 887.48 and 421.88 is: 582.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.02 : 887.48 = 421.88 : x
  2. Step 2: Convert to fraction form
    643.02/887.48 = 421.88/x
  3. Step 3: Cross multiply
    643.02x = 887.48 × 421.88
  4. Step 4: Simplify right side
    643.02x = 374,410.06
  5. Step 5: Solve for x
    x = 374,410.06/643.02
  6. Step 6: Final answer
    x = 582.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.