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Finding the Fourth Proportional to 434.70, 650.97 and 412.02

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Solution

The fourth proportional to 434.70, 650.97 and 412.02 is: 617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.70 : 650.97 = 412.02 : x
  2. Step 2: Convert to fraction form
    434.70/650.97 = 412.02/x
  3. Step 3: Cross multiply
    434.70x = 650.97 × 412.02
  4. Step 4: Simplify right side
    434.70x = 268,212.66
  5. Step 5: Solve for x
    x = 268,212.66/434.70
  6. Step 6: Final answer
    x = 617.01

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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.