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Finding the Fourth Proportional to 476.39, 657.24 and 301.43

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Solution

The fourth proportional to 476.39, 657.24 and 301.43 is: 415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.39 : 657.24 = 301.43 : x
  2. Step 2: Convert to fraction form
    476.39/657.24 = 301.43/x
  3. Step 3: Cross multiply
    476.39x = 657.24 × 301.43
  4. Step 4: Simplify right side
    476.39x = 198,111.85
  5. Step 5: Solve for x
    x = 198,111.85/476.39
  6. Step 6: Final answer
    x = 415.86

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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.