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Finding the Fourth Proportional to 465.84, 698.75 and 191.93

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Solution

The fourth proportional to 465.84, 698.75 and 191.93 is: 287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.84 : 698.75 = 191.93 : x
  2. Step 2: Convert to fraction form
    465.84/698.75 = 191.93/x
  3. Step 3: Cross multiply
    465.84x = 698.75 × 191.93
  4. Step 4: Simplify right side
    465.84x = 134,106.63
  5. Step 5: Solve for x
    x = 134,106.63/465.84
  6. Step 6: Final answer
    x = 287.88

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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.