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Finding the Fourth Proportional to 434.75, 652.41 and 191.34

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Solution

The fourth proportional to 434.75, 652.41 and 191.34 is: 287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.75 : 652.41 = 191.34 : x
  2. Step 2: Convert to fraction form
    434.75/652.41 = 191.34/x
  3. Step 3: Cross multiply
    434.75x = 652.41 × 191.34
  4. Step 4: Simplify right side
    434.75x = 124,832.13
  5. Step 5: Solve for x
    x = 124,832.13/434.75
  6. Step 6: Final answer
    x = 287.14

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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.