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Finding the Fourth Proportional to 466.09, 643.76 and 335.68

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Solution

The fourth proportional to 466.09, 643.76 and 335.68 is: 463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.09 : 643.76 = 335.68 : x
  2. Step 2: Convert to fraction form
    466.09/643.76 = 335.68/x
  3. Step 3: Cross multiply
    466.09x = 643.76 × 335.68
  4. Step 4: Simplify right side
    466.09x = 216,097.36
  5. Step 5: Solve for x
    x = 216,097.36/466.09
  6. Step 6: Final answer
    x = 463.64

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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.