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Finding the Fourth Proportional to 466.11, 643.44 and 355.89

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Solution

The fourth proportional to 466.11, 643.44 and 355.89 is: 491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.11 : 643.44 = 355.89 : x
  2. Step 2: Convert to fraction form
    466.11/643.44 = 355.89/x
  3. Step 3: Cross multiply
    466.11x = 643.44 × 355.89
  4. Step 4: Simplify right side
    466.11x = 228,993.86
  5. Step 5: Solve for x
    x = 228,993.86/466.11
  6. Step 6: Final answer
    x = 491.29

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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.