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Finding the Fourth Proportional to 434.27, 651.40 and 174.20

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Solution

The fourth proportional to 434.27, 651.40 and 174.20 is: 261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.27 : 651.40 = 174.20 : x
  2. Step 2: Convert to fraction form
    434.27/651.40 = 174.20/x
  3. Step 3: Cross multiply
    434.27x = 651.40 × 174.20
  4. Step 4: Simplify right side
    434.27x = 113,473.88
  5. Step 5: Solve for x
    x = 113,473.88/434.27
  6. Step 6: Final answer
    x = 261.30

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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.