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Finding the Fourth Proportional to 436.60, 654.88 and 421.22

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Solution

The fourth proportional to 436.60, 654.88 and 421.22 is: 631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.60 : 654.88 = 421.22 : x
  2. Step 2: Convert to fraction form
    436.60/654.88 = 421.22/x
  3. Step 3: Cross multiply
    436.60x = 654.88 × 421.22
  4. Step 4: Simplify right side
    436.60x = 275,848.55
  5. Step 5: Solve for x
    x = 275,848.55/436.60
  6. Step 6: Final answer
    x = 631.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.