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Finding the Fourth Proportional to 466.82, 643.95 and 289.72

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Solution

The fourth proportional to 466.82, 643.95 and 289.72 is: 399.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.82 : 643.95 = 289.72 : x
  2. Step 2: Convert to fraction form
    466.82/643.95 = 289.72/x
  3. Step 3: Cross multiply
    466.82x = 643.95 × 289.72
  4. Step 4: Simplify right side
    466.82x = 186,563.58
  5. Step 5: Solve for x
    x = 186,563.58/466.82
  6. Step 6: Final answer
    x = 399.65

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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.