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Finding the Fourth Proportional to 466.68, 643.66 and 362.09

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Solution

The fourth proportional to 466.68, 643.66 and 362.09 is: 499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.68 : 643.66 = 362.09 : x
  2. Step 2: Convert to fraction form
    466.68/643.66 = 362.09/x
  3. Step 3: Cross multiply
    466.68x = 643.66 × 362.09
  4. Step 4: Simplify right side
    466.68x = 233,063.55
  5. Step 5: Solve for x
    x = 233,063.55/466.68
  6. Step 6: Final answer
    x = 499.40

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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.