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Finding the Fourth Proportional to 434.40, 651.34 and 174.52

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Solution

The fourth proportional to 434.40, 651.34 and 174.52 is: 261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.40 : 651.34 = 174.52 : x
  2. Step 2: Convert to fraction form
    434.40/651.34 = 174.52/x
  3. Step 3: Cross multiply
    434.40x = 651.34 × 174.52
  4. Step 4: Simplify right side
    434.40x = 113,672.45
  5. Step 5: Solve for x
    x = 113,672.45/434.40
  6. Step 6: Final answer
    x = 261.68

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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.