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Finding the Fourth Proportional to 434.51, 651.99 and 174.54

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Solution

The fourth proportional to 434.51, 651.99 and 174.54 is: 261.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.51 : 651.99 = 174.54 : x
  2. Step 2: Convert to fraction form
    434.51/651.99 = 174.54/x
  3. Step 3: Cross multiply
    434.51x = 651.99 × 174.54
  4. Step 4: Simplify right side
    434.51x = 113,796.41
  5. Step 5: Solve for x
    x = 113,796.41/434.51
  6. Step 6: Final answer
    x = 261.90

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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.