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Finding the Fourth Proportional to 466.68, 643.96 and 300.84

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Solution

The fourth proportional to 466.68, 643.96 and 300.84 is: 415.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.68 : 643.96 = 300.84 : x
  2. Step 2: Convert to fraction form
    466.68/643.96 = 300.84/x
  3. Step 3: Cross multiply
    466.68x = 643.96 × 300.84
  4. Step 4: Simplify right side
    466.68x = 193,728.93
  5. Step 5: Solve for x
    x = 193,728.93/466.68
  6. Step 6: Final answer
    x = 415.12

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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.