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Finding the Fourth Proportional to 465.53, 698.03 and 205.22

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Solution

The fourth proportional to 465.53, 698.03 and 205.22 is: 307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.53 : 698.03 = 205.22 : x
  2. Step 2: Convert to fraction form
    465.53/698.03 = 205.22/x
  3. Step 3: Cross multiply
    465.53x = 698.03 × 205.22
  4. Step 4: Simplify right side
    465.53x = 143,251.21
  5. Step 5: Solve for x
    x = 143,251.21/465.53
  6. Step 6: Final answer
    x = 307.72

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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.