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Finding the Fourth Proportional to 466.18, 643.23 and 279.81

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Solution

The fourth proportional to 466.18, 643.23 and 279.81 is: 386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.18 : 643.23 = 279.81 : x
  2. Step 2: Convert to fraction form
    466.18/643.23 = 279.81/x
  3. Step 3: Cross multiply
    466.18x = 643.23 × 279.81
  4. Step 4: Simplify right side
    466.18x = 179,982.19
  5. Step 5: Solve for x
    x = 179,982.19/466.18
  6. Step 6: Final answer
    x = 386.08

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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.