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Finding the Fourth Proportional to 466.23, 643.59 and 421.77

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Solution

The fourth proportional to 466.23, 643.59 and 421.77 is: 582.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.23 : 643.59 = 421.77 : x
  2. Step 2: Convert to fraction form
    466.23/643.59 = 421.77/x
  3. Step 3: Cross multiply
    466.23x = 643.59 × 421.77
  4. Step 4: Simplify right side
    466.23x = 271,446.95
  5. Step 5: Solve for x
    x = 271,446.95/466.23
  6. Step 6: Final answer
    x = 582.22

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