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Finding the Fourth Proportional to 434.52, 650.70 and 329.40

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Solution

The fourth proportional to 434.52, 650.70 and 329.40 is: 493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.52 : 650.70 = 329.40 : x
  2. Step 2: Convert to fraction form
    434.52/650.70 = 329.40/x
  3. Step 3: Cross multiply
    434.52x = 650.70 × 329.40
  4. Step 4: Simplify right side
    434.52x = 214,340.58
  5. Step 5: Solve for x
    x = 214,340.58/434.52
  6. Step 6: Final answer
    x = 493.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.