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Finding the Fourth Proportional to 465.10, 698.29 and 301.59

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Solution

The fourth proportional to 465.10, 698.29 and 301.59 is: 452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.10 : 698.29 = 301.59 : x
  2. Step 2: Convert to fraction form
    465.10/698.29 = 301.59/x
  3. Step 3: Cross multiply
    465.10x = 698.29 × 301.59
  4. Step 4: Simplify right side
    465.10x = 210,596.53
  5. Step 5: Solve for x
    x = 210,596.53/465.10
  6. Step 6: Final answer
    x = 452.80

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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.