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Finding the Fourth Proportional to 466.11, 642.99 and 279.51

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Solution

The fourth proportional to 466.11, 642.99 and 279.51 is: 385.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.11 : 642.99 = 279.51 : x
  2. Step 2: Convert to fraction form
    466.11/642.99 = 279.51/x
  3. Step 3: Cross multiply
    466.11x = 642.99 × 279.51
  4. Step 4: Simplify right side
    466.11x = 179,722.13
  5. Step 5: Solve for x
    x = 179,722.13/466.11
  6. Step 6: Final answer
    x = 385.58

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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.