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Finding the Fourth Proportional to 466.52, 643.73 and 279.97

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Solution

The fourth proportional to 466.52, 643.73 and 279.97 is: 386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.52 : 643.73 = 279.97 : x
  2. Step 2: Convert to fraction form
    466.52/643.73 = 279.97/x
  3. Step 3: Cross multiply
    466.52x = 643.73 × 279.97
  4. Step 4: Simplify right side
    466.52x = 180,225.09
  5. Step 5: Solve for x
    x = 180,225.09/466.52
  6. Step 6: Final answer
    x = 386.32

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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.