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Finding the Fourth Proportional to 465.42, 698.28 and 191.59

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Solution

The fourth proportional to 465.42, 698.28 and 191.59 is: 287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.42 : 698.28 = 191.59 : x
  2. Step 2: Convert to fraction form
    465.42/698.28 = 191.59/x
  3. Step 3: Cross multiply
    465.42x = 698.28 × 191.59
  4. Step 4: Simplify right side
    465.42x = 133,784.31
  5. Step 5: Solve for x
    x = 133,784.31/465.42
  6. Step 6: Final answer
    x = 287.45

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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.