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Finding the Fourth Proportional to 407.84, 611.75 and 191.57

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Solution

The fourth proportional to 407.84, 611.75 and 191.57 is: 287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.84 : 611.75 = 191.57 : x
  2. Step 2: Convert to fraction form
    407.84/611.75 = 191.57/x
  3. Step 3: Cross multiply
    407.84x = 611.75 × 191.57
  4. Step 4: Simplify right side
    407.84x = 117,190.37
  5. Step 5: Solve for x
    x = 117,190.37/407.84
  6. Step 6: Final answer
    x = 287.35

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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.