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Finding the Fourth Proportional to 463.90, 696.09 and 301.66

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Solution

The fourth proportional to 463.90, 696.09 and 301.66 is: 452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.90 : 696.09 = 301.66 : x
  2. Step 2: Convert to fraction form
    463.90/696.09 = 301.66/x
  3. Step 3: Cross multiply
    463.90x = 696.09 × 301.66
  4. Step 4: Simplify right side
    463.90x = 209,982.51
  5. Step 5: Solve for x
    x = 209,982.51/463.90
  6. Step 6: Final answer
    x = 452.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.